Elliptic curve search results

Results (20 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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
2440.b2	2440a1	2440.b	2440a	$2$	$2$	\( 2^{3} \cdot 5 \cdot 61 \)	\( 2^{4} \cdot 5^{2} \cdot 61 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1$	$1$		$1$	$192$	$-0.367962$	$73598976/1525$	$0.85447$	$2.67787$	$[0, 0, 0, -22, -39]$	\(y^2=x^3-22x-39\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[]$
4880.f2	4880a1	4880.f	4880a	$2$	$2$	\( 2^{4} \cdot 5 \cdot 61 \)	\( 2^{4} \cdot 5^{2} \cdot 61 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1$	$1$		$1$	$384$	$-0.367962$	$73598976/1525$	$0.85447$	$2.45932$	$[0, 0, 0, -22, 39]$	\(y^2=x^3-22x+39\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[]$
12200.f2	12200g1	12200.f	12200g	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 61 \)	\( 2^{4} \cdot 5^{8} \cdot 61 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$3.014465099$	$1$		$11$	$4608$	$0.436756$	$73598976/1525$	$0.85447$	$3.24612$	$[0, 0, 0, -550, -4875]$	\(y^2=x^3-550x-4875\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(30, 75), (-14, 9)]$
19520.g2	19520r1	19520.g	19520r	$2$	$2$	\( 2^{6} \cdot 5 \cdot 61 \)	\( 2^{10} \cdot 5^{2} \cdot 61 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1.272627684$	$1$		$7$	$3072$	$-0.021389$	$73598976/1525$	$0.85447$	$2.53519$	$[0, 0, 0, -88, 312]$	\(y^2=x^3-88x+312\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(1, 15)]$
19520.l2	19520f1	19520.l	19520f	$2$	$2$	\( 2^{6} \cdot 5 \cdot 61 \)	\( 2^{10} \cdot 5^{2} \cdot 61 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1$	$1$		$1$	$3072$	$-0.021389$	$73598976/1525$	$0.85447$	$2.53519$	$[0, 0, 0, -88, -312]$	\(y^2=x^3-88x-312\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[]$
21960.j2	21960p1	21960.j	21960p	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 61 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 61 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$0.616929224$	$1$		$7$	$6144$	$0.181344$	$73598976/1525$	$0.85447$	$2.74867$	$[0, 0, 0, -198, 1053]$	\(y^2=x^3-198x+1053\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(6, 9)]$
24400.s2	24400a1	24400.s	24400a	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 61 \)	\( 2^{4} \cdot 5^{8} \cdot 61 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$2.951365821$	$1$		$3$	$9216$	$0.436756$	$73598976/1525$	$0.85447$	$3.02339$	$[0, 0, 0, -550, 4875]$	\(y^2=x^3-550x+4875\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(95, 900)]$
43920.k2	43920g1	43920.k	43920g	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 61 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 61 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.181344$	$73598976/1525$	$0.85447$	$2.57045$	$[0, 0, 0, -198, -1053]$	\(y^2=x^3-198x-1053\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[]$
97600.bg2	97600j1	97600.bg	97600j	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 61 \)	\( 2^{10} \cdot 5^{8} \cdot 61 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1$	$1$		$1$	$73728$	$0.783330$	$73598976/1525$	$0.85447$	$3.02057$	$[0, 0, 0, -2200, -39000]$	\(y^2=x^3-2200x-39000\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[]$
97600.bt2	97600cb1	97600.bt	97600cb	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 61 \)	\( 2^{10} \cdot 5^{8} \cdot 61 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$3.188643441$	$1$		$3$	$73728$	$0.783330$	$73598976/1525$	$0.85447$	$3.02057$	$[0, 0, 0, -2200, 39000]$	\(y^2=x^3-2200x+39000\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(-6, 228)]$
109800.q2	109800k1	109800.q	109800k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 61 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 61 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1.434530530$	$1$		$17$	$147456$	$0.986062$	$73598976/1525$	$0.85447$	$3.19953$	$[0, 0, 0, -4950, 131625]$	\(y^2=x^3-4950x+131625\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(60, 225), (-15, 450)]$
119560.k2	119560f1	119560.k	119560f	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 61 \)	\( 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 61 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1.628056948$	$1$		$5$	$69120$	$0.604993$	$73598976/1525$	$0.85447$	$2.78510$	$[0, 0, 0, -1078, 13377]$	\(y^2=x^3-1078x+13377\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(16, 15)]$
148840.c2	148840c1	148840.c	148840c	$2$	$2$	\( 2^{3} \cdot 5 \cdot 61^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 61^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$10.97918724$	$1$		$1$	$714240$	$1.687475$	$73598976/1525$	$0.85447$	$3.82448$	$[0, 0, 0, -81862, -8852259]$	\(y^2=x^3-81862x-8852259\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(-97214/25, 5359341/25)]$
175680.ea2	175680h1	175680.ea	175680h	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 61 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 61 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1.467154678$	$1$		$5$	$98304$	$0.527917$	$73598976/1525$	$0.85447$	$2.61976$	$[0, 0, 0, -792, -8424]$	\(y^2=x^3-792x-8424\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(-15, 9)]$
175680.fp2	175680ee1	175680.fp	175680ee	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 61 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 61 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$2.396533887$	$1$		$13$	$98304$	$0.527917$	$73598976/1525$	$0.85447$	$2.61976$	$[0, 0, 0, -792, 8424]$	\(y^2=x^3-792x+8424\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(30, 108), (9, 45)]$
219600.ek2	219600fb1	219600.ek	219600fb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 61 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 61 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1$	$1$		$1$	$294912$	$0.986062$	$73598976/1525$	$0.85447$	$3.01922$	$[0, 0, 0, -4950, -131625]$	\(y^2=x^3-4950x-131625\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[]$
239120.bi2	239120bi1	239120.bi	239120bi	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 61 \)	\( 2^{4} \cdot 5^{2} \cdot 7^{6} \cdot 61 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$2.715412337$	$1$		$3$	$138240$	$0.604993$	$73598976/1525$	$0.85447$	$2.62922$	$[0, 0, 0, -1078, -13377]$	\(y^2=x^3-1078x-13377\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(-17, 6)]$
295240.i2	295240i1	295240.i	295240i	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \cdot 61 \)	\( 2^{4} \cdot 5^{2} \cdot 11^{6} \cdot 61 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$2.297680109$	$1$		$5$	$276480$	$0.830985$	$73598976/1525$	$0.85447$	$2.80052$	$[0, 0, 0, -2662, 51909]$	\(y^2=x^3-2662x+51909\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(38, 75)]$
297680.q2	297680q1	297680.q	297680q	$2$	$2$	\( 2^{4} \cdot 5 \cdot 61^{2} \)	\( 2^{4} \cdot 5^{2} \cdot 61^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$1$	$9$	$3$	$1$	$1428480$	$1.687475$	$73598976/1525$	$0.85447$	$3.61415$	$[0, 0, 0, -81862, 8852259]$	\(y^2=x^3-81862x+8852259\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[]$
412360.c2	412360c1	412360.c	412360c	$2$	$2$	\( 2^{3} \cdot 5 \cdot 13^{2} \cdot 61 \)	\( 2^{4} \cdot 5^{2} \cdot 13^{6} \cdot 61 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1220$	$12$	$0$	$5.872677420$	$1$		$9$	$368640$	$0.914512$	$73598976/1525$	$0.85447$	$2.80568$	$[0, 0, 0, -3718, -85683]$	\(y^2=x^3-3718x-85683\)	2.3.0.a.1, 20.6.0.c.1, 122.6.0.?, 1220.12.0.?	$[(546, 12675), (169, 2028)]$