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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio	Manin constant

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Results (22 matches)

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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	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
6120.b1	6120p1	6120.b	6120p	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5 \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$0.215566755$	$1$	$6$	$7680$	$1.083097$	$-22864543488/7099285$	$1.02882$	$4.23685$	$[0, 0, 0, -4023, 121743]$	$y^2=x^3-4023x+121743$	510.2.0.?	$[(-27, 459)]$
6120.r1	6120b1	6120.r	6120b	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{4} \cdot 3^{3} \cdot 5 \cdot 17^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$1$	$1$	$0$	$2560$	$0.533792$	$-22864543488/7099285$	$1.02882$	$3.48087$	$[0, 0, 0, -447, -4509]$	$y^2=x^3-447x-4509$	510.2.0.?	$[ ]$
12240.z1	12240c1	12240.z	12240c	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5 \cdot 17^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$1$	$1$	$0$	$15360$	$1.083097$	$-22864543488/7099285$	$1.02882$	$3.92485$	$[0, 0, 0, -4023, -121743]$	$y^2=x^3-4023x-121743$	510.2.0.?	$[ ]$
12240.cb1	12240e1	12240.cb	12240e	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{4} \cdot 3^{3} \cdot 5 \cdot 17^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$1$	$1$	$0$	$5120$	$0.533792$	$-22864543488/7099285$	$1.02882$	$3.22453$	$[0, 0, 0, -447, 4509]$	$y^2=x^3-447x+4509$	510.2.0.?	$[ ]$
30600.ci1	30600d1	30600.ci	30600d	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$2.072885556$	$1$	$2$	$184320$	$1.887815$	$-22864543488/7099285$	$1.02882$	$4.51159$	$[0, 0, 0, -100575, 15217875]$	$y^2=x^3-100575x+15217875$	510.2.0.?	$[(135, 2025)]$
30600.co1	30600bo1	30600.co	30600bo	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$0.348127593$	$1$	$4$	$61440$	$1.338511$	$-22864543488/7099285$	$1.02882$	$3.87340$	$[0, 0, 0, -11175, -563625]$	$y^2=x^3-11175x-563625$	510.2.0.?	$[(385, 7225)]$
48960.m1	48960f1	48960.m	48960f	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{10} \cdot 3^{3} \cdot 5 \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$5.020711924$	$1$	$2$	$40960$	$0.880364$	$-22864543488/7099285$	$1.02882$	$3.19571$	$[0, 0, 0, -1788, -36072]$	$y^2=x^3-1788x-36072$	510.2.0.?	$[(237, 3585)]$
48960.ct1	48960dl1	48960.ct	48960dl	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{10} \cdot 3^{3} \cdot 5 \cdot 17^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$1$	$1$	$0$	$40960$	$0.880364$	$-22864543488/7099285$	$1.02882$	$3.19571$	$[0, 0, 0, -1788, 36072]$	$y^2=x^3-1788x+36072$	510.2.0.?	$[ ]$
48960.du1	48960z1	48960.du	48960z	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{10} \cdot 3^{9} \cdot 5 \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$1.025723612$	$1$	$2$	$122880$	$1.429670$	$-22864543488/7099285$	$1.02882$	$3.80612$	$[0, 0, 0, -16092, 973944]$	$y^2=x^3-16092x+973944$	510.2.0.?	$[(405, 7803)]$
48960.fk1	48960dx1	48960.fk	48960dx	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ - 2^{10} \cdot 3^{9} \cdot 5 \cdot 17^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$1$	$1$	$0$	$122880$	$1.429670$	$-22864543488/7099285$	$1.02882$	$3.80612$	$[0, 0, 0, -16092, -973944]$	$y^2=x^3-16092x-973944$	510.2.0.?	$[ ]$
61200.bb1	61200l1	61200.bb	61200l	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 17^{5} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$0.381617104$	$1$	$8$	$122880$	$1.338511$	$-22864543488/7099285$	$1.02882$	$3.62981$	$[0, 0, 0, -11175, 563625]$	$y^2=x^3-11175x+563625$	510.2.0.?	$[(40, 425), (-96, 867)]$
61200.bi1	61200e1	61200.bi	61200e	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5^{7} \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$9.721406586$	$1$	$0$	$368640$	$1.887815$	$-22864543488/7099285$	$1.02882$	$4.22786$	$[0, 0, 0, -100575, -15217875]$	$y^2=x^3-100575x-15217875$	510.2.0.?	$[(63396/11, 11596581/11)]$
104040.bc1	104040c1	104040.bc	104040c	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ - 2^{4} \cdot 3^{3} \cdot 5 \cdot 17^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$7.231811828$	$1$	$2$	$737280$	$1.950397$	$-22864543488/7099285$	$1.02882$	$4.09868$	$[0, 0, 0, -129183, -22152717]$	$y^2=x^3-129183x-22152717$	510.2.0.?	$[(3171, 177351)]$
104040.cx1	104040bv1	104040.cx	104040bv	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ - 2^{4} \cdot 3^{9} \cdot 5 \cdot 17^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$3.236102202$	$1$	$0$	$2211840$	$2.499702$	$-22864543488/7099285$	$1.02882$	$4.66926$	$[0, 0, 0, -1162647, 598123359]$	$y^2=x^3-1162647x+598123359$	510.2.0.?	$[(-30294/7, 11275335/7)]$
208080.u1	208080hd1	208080.u	208080hd	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ - 2^{4} \cdot 3^{3} \cdot 5 \cdot 17^{11} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$5.641448095$	$1$	$0$	$1474560$	$1.950397$	$-22864543488/7099285$	$1.02882$	$3.86668$	$[0, 0, 0, -129183, 22152717]$	$y^2=x^3-129183x+22152717$	510.2.0.?	$[(5916/5, 274839/5)]$
208080.ee1	208080gu1	208080.ee	208080gu	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ - 2^{4} \cdot 3^{9} \cdot 5 \cdot 17^{11} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$1$	$1$	$0$	$4423680$	$2.499702$	$-22864543488/7099285$	$1.02882$	$4.40496$	$[0, 0, 0, -1162647, -598123359]$	$y^2=x^3-1162647x-598123359$	510.2.0.?	$[ ]$
244800.cp1	244800cp1	244800.cp	244800cp	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 17^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$1$	$1$	$0$	$2949120$	$2.234390$	$-22864543488/7099285$	$1.02882$	$4.09068$	$[0, 0, 0, -402300, -121743000]$	$y^2=x^3-402300x-121743000$	510.2.0.?	$[ ]$
244800.dn1	244800dn1	244800.dn	244800dn	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$0.930381507$	$1$	$2$	$983040$	$1.685083$	$-22864543488/7099285$	$1.02882$	$3.55945$	$[0, 0, 0, -44700, 4509000]$	$y^2=x^3-44700x+4509000$	510.2.0.?	$[(165, 1275)]$
244800.pz1	244800pz1	244800.pz	244800pz	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{10} \cdot 3^{3} \cdot 5^{7} \cdot 17^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$1$	$1$	$0$	$983040$	$1.685083$	$-22864543488/7099285$	$1.02882$	$3.55945$	$[0, 0, 0, -44700, -4509000]$	$y^2=x^3-44700x-4509000$	510.2.0.?	$[ ]$
244800.qu1	244800qu1	244800.qu	244800qu	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ - 2^{10} \cdot 3^{9} \cdot 5^{7} \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$5.568517170$	$1$	$0$	$2949120$	$2.234390$	$-22864543488/7099285$	$1.02882$	$4.09068$	$[0, 0, 0, -402300, 121743000]$	$y^2=x^3-402300x+121743000$	510.2.0.?	$[(9585/2, 909225/2)]$
299880.bu1	299880bu1	299880.bu	299880bu	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 17^{5} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$0.696976542$	$1$	$6$	$844800$	$1.506746$	$-22864543488/7099285$	$1.02882$	$3.33247$	$[0, 0, 0, -21903, 1546587]$	$y^2=x^3-21903x+1546587$	510.2.0.?	$[(39, 867)]$
299880.db1	299880db1	299880.db	299880db	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 $	$ - 2^{4} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 17^{5} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$510$	$2$	$0$	$1$	$1$	$0$	$2534400$	$2.056053$	$-22864543488/7099285$	$1.02882$	$3.85516$	$[0, 0, 0, -197127, -41757849]$	$y^2=x^3-197127x-41757849$	510.2.0.?	$[ ]$

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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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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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