LMFDB - Elliptic curves over $\Q$ of conductor 4200

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Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
4200.a1	4200b1	4200.a	4200b	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$0.946019799$	$1$		$4$	$3840$	$0.727702$	$69683121920/110270727$	$0.99318$	$3.77682$	$[0, -1, 0, 632, 7837]$	$y^2=x^3-x^2+632x+7837$	14.2.0.a.1	$[(-2, 81)]$
4200.b1	4200t1	4200.b	4200t	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 7 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$1.087252388$	$1$		$4$	$4800$	$1.066339$	$-88218880/413343$	$0.94844$	$4.33321$	$[0, -1, 0, -1708, 82537]$	$y^2=x^3-x^2-1708x+82537$	14.2.0.a.1	$[(16, 243)]$
4200.c1	4200a3	4200.c	4200a	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{11} \cdot 3 \cdot 5^{7} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.450795623$	$1$		$3$	$6144$	$1.194344$	$15267472418/36015$	$0.93614$	$4.88206$	$[0, -1, 0, -16408, 812812]$	$y^2=x^3-x^2-16408x+812812$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 56.12.0.bb.1, $\ldots$	$[(177, 1850)]$
4200.c2	4200a2	4200.c	4200a	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$840$	$48$	$0$	$1.725397811$	$1$		$9$	$3072$	$0.847771$	$19307236/11025$	$1.14460$	$3.99913$	$[0, -1, 0, -1408, 2812]$	$y^2=x^3-x^2-1408x+2812$	2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 56.12.0.a.1, 120.24.0.?, $\ldots$	$[(58, 336)]$
4200.c3	4200a1	4200.c	4200a	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{8} \cdot 3 \cdot 5^{7} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.450795623$	$1$		$3$	$1536$	$0.501197$	$20720464/105$	$0.82444$	$3.84143$	$[0, -1, 0, -908, -10188]$	$y^2=x^3-x^2-908x-10188$	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 56.12.0.bb.1, $\ldots$	$[(46, 208)]$
4200.c4	4200a4	4200.c	4200a	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{11} \cdot 3^{4} \cdot 5^{10} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.450795623$	$1$		$3$	$6144$	$1.194344$	$604223422/354375$	$1.00382$	$4.49496$	$[0, -1, 0, 5592, 16812]$	$y^2=x^3-x^2+5592x+16812$	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 56.12.0.v.1, $\ldots$	$[(33, 486)]$
4200.d1	4200f1	4200.d	4200f	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 7 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$1$	$1$		$0$	$6720$	$0.917459$	$-324179200/63$	$0.92571$	$4.61043$	$[0, -1, 0, -7708, -257963]$	$y^2=x^3-x^2-7708x-257963$	14.2.0.a.1	$[]$
4200.e1	4200e3	4200.e	4200e	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 7^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$840$	$48$	$0$	$1$	$1$		$3$	$18432$	$1.463003$	$2624033547076/324135$	$0.97102$	$5.41588$	$[0, -1, 0, -72408, 7522812]$	$y^2=x^3-x^2-72408x+7522812$	2.3.0.a.1, 4.12.0-4.c.1.1, 60.24.0-60.h.1.3, 168.24.0.?, 280.24.0.?, $\ldots$	$[]$
4200.e2	4200e2	4200.e	4200e	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$420$	$48$	$0$	$1$	$1$		$3$	$9216$	$1.116428$	$3269383504/893025$	$0.91234$	$4.44809$	$[0, -1, 0, -4908, 97812]$	$y^2=x^3-x^2-4908x+97812$	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.1, 84.24.0.?, 140.24.0.?, $\ldots$	$[]$
4200.e3	4200e1	4200.e	4200e	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$840$	$48$	$0$	$1$	$1$		$1$	$4608$	$0.769855$	$2508888064/118125$	$0.93401$	$4.08402$	$[0, -1, 0, -1783, -27188]$	$y^2=x^3-x^2-1783x-27188$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 42.6.0.a.1, 60.12.0-4.c.1.2, $\ldots$	$[]$
4200.e4	4200e4	4200.e	4200e	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{12} \cdot 5^{7} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$840$	$48$	$0$	$1$	$1$		$1$	$18432$	$1.463003$	$13799183324/18600435$	$0.95866$	$4.82097$	$[0, -1, 0, 12592, 622812]$	$y^2=x^3-x^2+12592x+622812$	2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 120.24.0.?, 140.24.0.?, $\ldots$	$[]$
4200.f1	4200i1	4200.f	4200i	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$0.189535895$	$1$		$6$	$1920$	$0.575562$	$-6288640/567$	$0.83142$	$3.76936$	$[0, -1, 0, -708, 8037]$	$y^2=x^3-x^2-708x+8037$	14.2.0.a.1	$[(42, 225)]$
4200.g1	4200u1	4200.g	4200u	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{11} \cdot 3 \cdot 5^{8} \cdot 7 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$168$	$2$	$0$	$1$	$1$		$0$	$3360$	$0.643265$	$-1250/21$	$0.95840$	$3.71974$	$[0, -1, 0, -208, 6412]$	$y^2=x^3-x^2-208x+6412$	168.2.0.?	$[]$
4200.h1	4200r3	4200.h	4200r	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3^{20} \cdot 5^{8} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.184122488$	$1$		$5$	$184320$	$2.740955$	$898353183174324196/29899176238575$	$1.03474$	$6.94337$	$[0, -1, 0, -5065408, 4261670812]$	$y^2=x^3-x^2-5065408x+4261670812$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 28.12.0.h.1, $\ldots$	$[(1502, 6300)]$
4200.h2	4200r2	4200.h	4200r	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{8} \cdot 3^{10} \cdot 5^{10} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$420$	$48$	$0$	$1.592061244$	$1$		$13$	$92160$	$2.394382$	$13015144447800784/4341909875625$	$1.02400$	$6.26965$	$[0, -1, 0, -777908, -171604188]$	$y^2=x^3-x^2-777908x-171604188$	2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 28.12.0.a.1, 60.24.0-12.b.1.2, $\ldots$	$[(-724, 3402)]$
4200.h3	4200r1	4200.h	4200r	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{4} \cdot 3^{5} \cdot 5^{14} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.184122488$	$1$		$5$	$46080$	$2.047810$	$151591373397612544/32558203125$	$1.13122$	$6.23159$	$[0, -1, 0, -699783, -225041688]$	$y^2=x^3-x^2-699783x-225041688$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 42.6.0.a.1, $\ldots$	$[(-487, 119)]$
4200.h4	4200r4	4200.h	4200r	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 7^{12} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.184122488$	$1$		$5$	$184320$	$2.740955$	$79743193254623804/84085819746075$	$1.04397$	$6.65309$	$[0, -1, 0, 2259592, -1186129188]$	$y^2=x^3-x^2+2259592x-1186129188$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$	$[(526, 12152)]$
4200.i1	4200q3	4200.i	4200q	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1.241539922$	$1$		$5$	$4096$	$0.811678$	$381775972/567$	$0.96461$	$4.35684$	$[0, -1, 0, -3808, 91612]$	$y^2=x^3-x^2-3808x+91612$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 28.12.0.h.1, $\ldots$	$[(46, 108)]$
4200.i2	4200q2	4200.i	4200q	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$420$	$48$	$0$	$0.620769961$	$1$		$15$	$2048$	$0.465105$	$810448/441$	$0.95393$	$3.45292$	$[0, -1, 0, -308, 612]$	$y^2=x^3-x^2-308x+612$	2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 28.12.0.a.1, 60.24.0-12.b.1.2, $\ldots$	$[(-8, 50)]$
4200.i3	4200q1	4200.i	4200q	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{4} \cdot 3 \cdot 5^{6} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1.241539922$	$1$		$7$	$1024$	$0.118531$	$2725888/21$	$0.93026$	$3.26598$	$[0, -1, 0, -183, -888]$	$y^2=x^3-x^2-183x-888$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 42.6.0.a.1, $\ldots$	$[(-7, 1)]$
4200.i4	4200q4	4200.i	4200q	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3 \cdot 5^{6} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$1.241539922$	$1$		$5$	$4096$	$0.811678$	$11696828/7203$	$1.01215$	$3.93906$	$[0, -1, 0, 1192, 3612]$	$y^2=x^3-x^2+1192x+3612$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$	$[(22, 200)]$
4200.j1	4200h1	4200.j	4200h	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{8} \cdot 3 \cdot 5^{3} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.207194085$	$1$		$5$	$512$	$-0.173503$	$78608/21$	$0.75113$	$2.59453$	$[0, -1, 0, -28, 52]$	$y^2=x^3-x^2-28x+52$	2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?	$[(6, 8)]$
4200.j2	4200h2	4200.j	4200h	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.603597042$	$1$		$9$	$1024$	$0.173070$	$318028/441$	$0.86148$	$2.96822$	$[0, -1, 0, 72, 252]$	$y^2=x^3-x^2+72x+252$	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(2, 20)]$
4200.k1	4200g1	4200.k	4200g	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$5.666972021$	$1$		$3$	$23040$	$1.741396$	$12692020761488/9261$	$1.00088$	$6.01739$	$[0, -1, 0, -385708, -92072588]$	$y^2=x^3-x^2-385708x-92072588$	2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.?	$[(1758, 68264)]$
4200.k2	4200g2	4200.k	4200g	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{10} \cdot 3^{6} \cdot 5^{9} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.833486010$	$1$		$5$	$46080$	$2.087971$	$-3111705953492/85766121$	$1.00161$	$6.02063$	$[0, -1, 0, -383208, -93327588]$	$y^2=x^3-x^2-383208x-93327588$	2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(906, 17388)]$
4200.l1	4200c1	4200.l	4200c	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$168$	$2$	$0$	$1$	$1$		$0$	$66528$	$2.195351$	$16683494528422270/38919722282469$	$1.05956$	$5.90993$	$[0, -1, 0, 197672, 58827532]$	$y^2=x^3-x^2+197672x+58827532$	168.2.0.?	$[]$
4200.m1	4200s1	4200.m	4200s	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$0.119868113$	$1$		$8$	$576$	$-0.150138$	$-160000/3087$	$1.03020$	$2.57834$	$[0, -1, 0, -8, 57]$	$y^2=x^3-x^2-8x+57$	14.2.0.a.1	$[(8, 21)]$
4200.n1	4200d4	4200.n	4200d	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.8	2B	$1680$	$192$	$1$	$1$	$1$		$1$	$12288$	$1.440056$	$32779037733124/315$	$0.98701$	$5.71855$	$[0, -1, 0, -168008, 26562012]$	$y^2=x^3-x^2-168008x+26562012$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 20.12.0-4.c.1.2, $\ldots$	$[]$
4200.n2	4200d5	4200.n	4200d	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{11} \cdot 3 \cdot 5^{14} \cdot 7^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.9	2B	$1680$	$192$	$1$	$1$	$4$	$2$	$1$	$24576$	$1.786629$	$14695548366242/57421875$	$0.98648$	$5.70547$	$[0, -1, 0, -162008, -24959988]$	$y^2=x^3-x^2-162008x-24959988$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 20.12.0-4.c.1.1, $\ldots$	$[]$
4200.n3	4200d3	4200.n	4200d	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.11	2Cs	$840$	$192$	$1$	$1$	$1$		$3$	$12288$	$1.440056$	$23366901604/13505625$	$1.08406$	$4.84999$	$[0, -1, 0, -15008, 30012]$	$y^2=x^3-x^2-15008x+30012$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 20.24.0-4.b.1.1, 24.48.0-24.e.1.18, $\ldots$	$[]$
4200.n4	4200d2	4200.n	4200d	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.14	2Cs	$840$	$192$	$1$	$1$	$1$		$3$	$6144$	$1.093481$	$32082281296/99225$	$0.92349$	$4.72182$	$[0, -1, 0, -10508, 417012]$	$y^2=x^3-x^2-10508x+417012$	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 20.24.0-4.b.1.3, 24.48.0-24.l.1.19, $\ldots$	$[]$
4200.n5	4200d1	4200.n	4200d	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.93	2B	$1680$	$192$	$1$	$1$	$1$		$1$	$3072$	$0.746908$	$-24918016/229635$	$0.96130$	$3.87028$	$[0, -1, 0, -383, 12012]$	$y^2=x^3-x^2-383x+12012$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 20.12.0-4.c.1.2, 28.12.0-4.c.1.2, $\ldots$	$[]$
4200.n6	4200d6	4200.n	4200d	$6$	$8$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{11} \cdot 3 \cdot 5^{8} \cdot 7^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.94	2B	$1680$	$192$	$1$	$1$	$1$		$1$	$24576$	$1.786629$	$746185003198/432360075$	$1.10067$	$5.34824$	$[0, -1, 0, 59992, 180012]$	$y^2=x^3-x^2+59992x+180012$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 20.12.0-4.c.1.1, 24.48.0-24.bn.1.9, $\ldots$	$[]$
4200.o1	4200v1	4200.o	4200v	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{16} \cdot 5^{4} \cdot 7 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$1$	$1$		$0$	$10752$	$1.330616$	$-427361108435200/301327047$	$1.03906$	$5.14216$	$[0, -1, 0, -33808, -2382863]$	$y^2=x^3-x^2-33808x-2382863$	14.2.0.a.1	$[]$
4200.p1	4200be1	4200.p	4200be	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 7 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$1$	$1$		$0$	$1344$	$0.112741$	$-324179200/63$	$0.92571$	$3.45296$	$[0, 1, 0, -308, -2187]$	$y^2=x^3+x^2-308x-2187$	14.2.0.a.1	$[]$
4200.q1	4200l4	4200.q	4200l	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3 \cdot 5^{10} \cdot 7 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$840$	$48$	$0$	$1$	$1$		$1$	$6144$	$1.080431$	$10262905636/13125$	$1.09479$	$4.75137$	$[0, 1, 0, -11408, 464688]$	$y^2=x^3+x^2-11408x+464688$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 42.6.0.a.1, 60.12.0-4.c.1.1, $\ldots$	$[]$
4200.q2	4200l3	4200.q	4200l	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3 \cdot 5^{7} \cdot 7^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$840$	$48$	$0$	$1$	$1$		$1$	$6144$	$1.080431$	$4108974916/36015$	$0.91688$	$4.64165$	$[0, 1, 0, -8408, -297312]$	$y^2=x^3+x^2-8408x-297312$	2.3.0.a.1, 4.12.0-4.c.1.2, 60.24.0-60.h.1.1, 168.24.0.?, 280.24.0.?, $\ldots$	$[]$
4200.q3	4200l2	4200.q	4200l	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$420$	$48$	$0$	$1$	$1$		$3$	$3072$	$0.733858$	$20720464/11025$	$0.88986$	$3.84143$	$[0, 1, 0, -908, 2688]$	$y^2=x^3+x^2-908x+2688$	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.2, 84.24.0.?, 140.24.0.?, $\ldots$	$[]$
4200.q4	4200l1	4200.q	4200l	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 7 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$840$	$48$	$0$	$1$	$1$		$3$	$1536$	$0.387284$	$4499456/2835$	$0.91566$	$3.32605$	$[0, 1, 0, 217, 438]$	$y^2=x^3+x^2+217x+438$	2.3.0.a.1, 4.12.0-4.c.1.1, 70.6.0.a.1, 120.24.0.?, 140.24.0.?, $\ldots$	$[]$
4200.r1	4200y1	4200.r	4200y	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$14$	$2$	$0$	$0.170300162$	$1$		$6$	$384$	$-0.229156$	$-6288640/567$	$0.83142$	$2.61188$	$[0, 1, 0, -28, 53]$	$y^2=x^3+x^2-28x+53$	14.2.0.a.1	$[(2, 3)]$
4200.s1	4200j1	4200.s	4200j	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{11} \cdot 3 \cdot 5^{2} \cdot 7 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$168$	$2$	$0$	$1$	$1$		$0$	$672$	$-0.161454$	$-1250/21$	$0.95840$	$2.56227$	$[0, 1, 0, -8, 48]$	$y^2=x^3+x^2-8x+48$	168.2.0.?	$[]$
4200.t1	4200x4	4200.t	4200x	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$0.669463667$	$1$		$9$	$12288$	$1.332909$	$7080974546692/189$	$1.03534$	$5.53487$	$[0, 1, 0, -100808, 12285888]$	$y^2=x^3+x^2-100808x+12285888$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 42.6.0.a.1, $\ldots$	$[(184, 24)]$
4200.t2	4200x3	4200.t	4200x	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3^{12} \cdot 5^{6} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$0.669463667$	$1$		$7$	$12288$	$1.332909$	$6522128932/3720087$	$1.09944$	$4.69703$	$[0, 1, 0, -9808, -48112]$	$y^2=x^3+x^2-9808x-48112$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 28.12.0.h.1, $\ldots$	$[(-16, 324)]$
4200.t3	4200x2	4200.t	4200x	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$420$	$48$	$0$	$0.334731833$	$1$		$21$	$6144$	$0.986335$	$6940769488/35721$	$0.97939$	$4.53832$	$[0, 1, 0, -6308, 189888]$	$y^2=x^3+x^2-6308x+189888$	2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 28.12.0.a.1, 60.24.0-12.b.1.1, $\ldots$	$[(-2, 450)]$
4200.t4	4200x1	4200.t	4200x	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$0.669463667$	$1$		$7$	$3072$	$0.639761$	$-2725888/64827$	$1.07980$	$3.71426$	$[0, 1, 0, -183, 6138]$	$y^2=x^3+x^2-183x+6138$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$	$[(3, 75)]$
4200.u1	4200w3	4200.u	4200w	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.865449082$	$1$		$3$	$12288$	$1.417192$	$5633270409316/14175$	$0.97610$	$5.50745$	$[0, 1, 0, -93408, -11019312]$	$y^2=x^3+x^2-93408x-11019312$	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 28.12.0.h.1, $\ldots$	$[(1848, 78300)]$
4200.u2	4200w4	4200.u	4200w	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{10} \cdot 3 \cdot 5^{14} \cdot 7 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.865449082$	$1$		$3$	$12288$	$1.417192$	$30534944836/8203125$	$0.94823$	$4.88206$	$[0, 1, 0, -16408, 586688]$	$y^2=x^3+x^2-16408x+586688$	2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 42.6.0.a.1, $\ldots$	$[(112, 408)]$
4200.u3	4200w2	4200.u	4200w	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.6.0.1	2Cs	$420$	$48$	$0$	$1.932724541$	$1$		$9$	$6144$	$1.070620$	$5702413264/275625$	$0.90690$	$4.51476$	$[0, 1, 0, -5908, -169312]$	$y^2=x^3+x^2-5908x-169312$	2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 28.12.0.a.1, 60.24.0-12.b.1.1, $\ldots$	$[(-38, 42)]$
4200.u4	4200w1	4200.u	4200w	$4$	$4$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{4} \cdot 3 \cdot 5^{8} \cdot 7^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.1	2B	$840$	$48$	$0$	$3.865449082$	$1$		$3$	$3072$	$0.724046$	$4499456/180075$	$0.98678$	$3.83209$	$[0, 1, 0, 217, -10062]$	$y^2=x^3+x^2+217x-10062$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$	$[(459, 9849)]$
4200.v1	4200bd1	4200.v	4200bd	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 $	$ - 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 7^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$168$	$2$	$0$	$1$	$1$		$0$	$332640$	$3.000069$	$16683494528422270/38919722282469$	$1.05956$	$7.06741$	$[0, 1, 0, 4941792, 7363325088]$	$y^2=x^3+x^2+4941792x+7363325088$	168.2.0.?	$[]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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