LMFDB - Elliptic curve search results

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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

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Results (32 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	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
5880.h2	5880d1	5880.h	5880d	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$5376$	$0.687984$	$2048/45$	$0.89768$	$3.63168$	$[0, -1, 0, 229, 8016]$	$y^2=x^3-x^2+229x+8016$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
5880.bi2	5880q1	5880.bi	5880q	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$768$	$-0.284971$	$2048/45$	$0.89768$	$2.28647$	$[0, 1, 0, 5, -22]$	$y^2=x^3+x^2+5x-22$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
11760.t2	11760r1	11760.t	11760r	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.622070324$	$1$		$3$	$1536$	$-0.284971$	$2048/45$	$0.89768$	$2.11738$	$[0, -1, 0, 5, 22]$	$y^2=x^3-x^2+5x+22$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(2, 6)]$
11760.bl2	11760z1	11760.bl	11760z	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$8.850708928$	$1$		$1$	$10752$	$0.687984$	$2048/45$	$0.89768$	$3.36310$	$[0, 1, 0, 229, -8016]$	$y^2=x^3+x^2+229x-8016$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(6868/3, 569654/3)]$
17640.b2	17640ci1	17640.b	17640ci	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7^{3} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.226657395$	$1$		$17$	$6144$	$0.264335$	$2048/45$	$0.89768$	$2.70371$	$[0, 0, 0, 42, 637]$	$y^2=x^3+42x+637$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(2, 27), (29, 162)]$
17640.bt2	17640ct1	17640.bt	17640ct	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$4.229324375$	$1$		$5$	$43008$	$1.237289$	$2048/45$	$0.89768$	$3.89777$	$[0, 0, 0, 2058, -218491]$	$y^2=x^3+2058x-218491$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(50, 97)]$
29400.ci2	29400cy1	29400.ci	29400cy	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.882010911$	$1$		$5$	$18432$	$0.519748$	$2048/45$	$0.89768$	$2.86737$	$[0, -1, 0, 117, -2988]$	$y^2=x^3-x^2+117x-2988$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(33, 189)]$
29400.em2	29400ef1	29400.em	29400ef	$2$	$2$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 7^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$129024$	$1.492702$	$2048/45$	$0.89768$	$4.00215$	$[0, 1, 0, 5717, 1013438]$	$y^2=x^3+x^2+5717x+1013438$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
35280.cn2	35280bq1	35280.cn	35280bq	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.854628858$	$1$		$3$	$12288$	$0.264335$	$2048/45$	$0.89768$	$2.52474$	$[0, 0, 0, 42, -637]$	$y^2=x^3+42x-637$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(11, 34)]$
35280.ft2	35280cp1	35280.ft	35280cp	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$4$	$2$	$1$	$86016$	$1.237289$	$2048/45$	$0.89768$	$3.63976$	$[0, 0, 0, 2058, 218491]$	$y^2=x^3+2058x+218491$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
47040.j2	47040s1	47040.j	47040s	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.061602$	$2048/45$	$0.89768$	$2.23110$	$[0, -1, 0, 19, -195]$	$y^2=x^3-x^2+19x-195$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
47040.dl2	47040fj1	47040.dl	47040fj	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$86016$	$1.034557$	$2048/45$	$0.89768$	$3.31631$	$[0, -1, 0, 915, -65043]$	$y^2=x^3-x^2+915x-65043$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
47040.fl2	47040gg1	47040.fl	47040gg	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.061602$	$2048/45$	$0.89768$	$2.23110$	$[0, 1, 0, 19, 195]$	$y^2=x^3+x^2+19x+195$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
47040.fs2	47040dp1	47040.fs	47040dp	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$86016$	$1.034557$	$2048/45$	$0.89768$	$3.31631$	$[0, 1, 0, 915, 65043]$	$y^2=x^3+x^2+915x+65043$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
58800.k2	58800bh1	58800.k	58800bh	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 7^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$258048$	$1.492702$	$2048/45$	$0.89768$	$3.74954$	$[0, -1, 0, 5717, -1013438]$	$y^2=x^3-x^2+5717x-1013438$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
58800.fx2	58800dq1	58800.fx	58800dq	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$3.712499646$	$1$		$1$	$36864$	$0.519748$	$2048/45$	$0.89768$	$2.68639$	$[0, 1, 0, 117, 2988]$	$y^2=x^3+x^2+117x+2988$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(141/2, 1827/2)]$
88200.j2	88200cx1	88200.j	88200cx	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$3.944922705$	$1$		$3$	$1032192$	$2.042007$	$2048/45$	$0.89768$	$4.19489$	$[0, 0, 0, 51450, -27311375]$	$y^2=x^3+51450x-27311375$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(1145, 39150)]$
88200.bk2	88200cw1	88200.bk	88200cw	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.757253722$	$1$		$7$	$147456$	$1.069054$	$2048/45$	$0.89768$	$3.16959$	$[0, 0, 0, 1050, 79625]$	$y^2=x^3+1050x+79625$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(-20, 225)]$
141120.s2	141120cy1	141120.s	141120cy	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{10} \cdot 3^{8} \cdot 5 \cdot 7^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$688128$	$1.583864$	$2048/45$	$0.89768$	$3.56496$	$[0, 0, 0, 8232, 1747928]$	$y^2=x^3+8232x+1747928$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
141120.gm2	141120mp1	141120.gm	141120mp	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{10} \cdot 3^{8} \cdot 5 \cdot 7^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$6.965683816$	$1$		$1$	$688128$	$1.583864$	$2048/45$	$0.89768$	$3.56496$	$[0, 0, 0, 8232, -1747928]$	$y^2=x^3+8232x-1747928$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(4169/4, 272187/4)]$
141120.jk2	141120k1	141120.jk	141120k	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{10} \cdot 3^{8} \cdot 5 \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$3.122557200$	$1$		$3$	$98304$	$0.610909$	$2048/45$	$0.89768$	$2.58030$	$[0, 0, 0, 168, -5096]$	$y^2=x^3+168x-5096$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(350, 6552)]$
141120.pi2	141120ke1	141120.pi	141120ke	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{10} \cdot 3^{8} \cdot 5 \cdot 7^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$98304$	$0.610909$	$2048/45$	$0.89768$	$2.58030$	$[0, 0, 0, 168, 5096]$	$y^2=x^3+168x+5096$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
176400.rd2	176400qd1	176400.rd	176400qd	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$6.199590053$	$1$		$3$	$2064384$	$2.042007$	$2048/45$	$0.89768$	$3.95420$	$[0, 0, 0, 51450, 27311375]$	$y^2=x^3+51450x+27311375$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(2255, 107750)]$
176400.sq2	176400qq1	176400.sq	176400qq	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.975329743$	$1$		$3$	$294912$	$1.069054$	$2048/45$	$0.89768$	$2.98773$	$[0, 0, 0, 1050, -79625]$	$y^2=x^3+1050x-79625$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(71, 594)]$
235200.cn2	235200cn1	235200.cn	235200cn	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$2064384$	$1.839275$	$2048/45$	$0.89768$	$3.66553$	$[0, -1, 0, 22867, 8084637]$	$y^2=x^3-x^2+22867x+8084637$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
235200.lw2	235200lw1	235200.lw	235200lw	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.897465265$	$1$		$7$	$294912$	$0.866322$	$2048/45$	$0.89768$	$2.72154$	$[0, -1, 0, 467, 23437]$	$y^2=x^3-x^2+467x+23437$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(37, 300)]$
235200.pu2	235200pu1	235200.pu	235200pu	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.523843692$	$1$		$5$	$294912$	$0.866322$	$2048/45$	$0.89768$	$2.72154$	$[0, 1, 0, 467, -23437]$	$y^2=x^3+x^2+467x-23437$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(38, 225)]$
235200.bbt2	235200bbt1	235200.bbt	235200bbt	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} $	$ - 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 7^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$9$	$3$	$1$	$2064384$	$1.839275$	$2048/45$	$0.89768$	$3.66553$	$[0, 1, 0, 22867, -8084637]$	$y^2=x^3+x^2+22867x-8084637$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
705600.eu2	-	705600.eu	-	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 7^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$2359296$	$1.415627$	$2048/45$	$0.89768$	$2.98899$	$[0, 0, 0, 4200, -637000]$	$y^2=x^3+4200x-637000$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
705600.iz2	-	705600.iz	-	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 7^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$16515072$	$2.388584$	$2048/45$	$0.89768$	$3.85597$	$[0, 0, 0, 205800, 218491000]$	$y^2=x^3+205800x+218491000$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[]$
705600.bua2	-	705600.bua	-	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 7^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$3.038480676$	$1$		$3$	$2359296$	$1.415627$	$2048/45$	$0.89768$	$2.98899$	$[0, 0, 0, 4200, 637000]$	$y^2=x^3+4200x+637000$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(266, 4536)]$
705600.byf2	-	705600.byf	-	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 7^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$420$	$12$	$0$	$6.523127634$	$1$		$3$	$16515072$	$2.388584$	$2048/45$	$0.89768$	$3.85597$	$[0, 0, 0, 205800, -218491000]$	$y^2=x^3+205800x-218491000$	2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?	$[(14905, 1820475)]$

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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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