Elliptic curve search results

Results (18 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
3870.c2	3870a1	3870.c	3870a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$2.161612463$	$1$		$3$	$13824$	$1.435383$	$43121696645763/7045120000$	$0.99588$	$4.99728$	$[1, -1, 0, -19725, 908261]$	\(y^2+xy=x^3-x^2-19725x+908261\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[(-137, 1081)]$
3870.v2	3870n1	3870.v	3870n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$0.204818958$	$1$		$15$	$4608$	$0.886077$	$43121696645763/7045120000$	$0.99588$	$4.19935$	$[1, -1, 1, -2192, -32909]$	\(y^2+xy+y=x^3-x^2-2192x-32909\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[(-19, 49)]$
19350.bb2	19350f1	19350.bb	19350f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.690796$	$43121696645763/7045120000$	$0.99588$	$4.49296$	$[1, -1, 0, -54792, -4168384]$	\(y^2+xy=x^3-x^2-54792x-4168384\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[]$
19350.cm2	19350bt1	19350.cm	19350bt	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{10} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$0.922916059$	$1$		$9$	$331776$	$2.240101$	$43121696645763/7045120000$	$0.99588$	$5.16078$	$[1, -1, 1, -493130, 113039497]$	\(y^2+xy+y=x^3-x^2-493130x+113039497\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[(689, 9655)]$
30960.t2	30960t1	30960.t	30960t	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{30} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$6.940592603$	$1$		$1$	$331776$	$2.128529$	$43121696645763/7045120000$	$0.99588$	$4.79673$	$[0, 0, 0, -315603, -57813102]$	\(y^2=x^3-315603x-57813102\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[(-6201/5, 285282/5)]$
30960.bw2	30960z1	30960.bw	30960z	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{30} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$110592$	$1.579224$	$43121696645763/7045120000$	$0.99588$	$4.15926$	$[0, 0, 0, -35067, 2141226]$	\(y^2=x^3-35067x+2141226\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[]$
123840.bc2	123840k1	123840.bc	123840k	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{36} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.925797$	$43121696645763/7045120000$	$0.99588$	$4.02222$	$[0, 0, 0, -140268, -17129808]$	\(y^2=x^3-140268x-17129808\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[]$
123840.cm2	123840dp1	123840.cm	123840dp	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{36} \cdot 3^{3} \cdot 5^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.925797$	$43121696645763/7045120000$	$0.99588$	$4.02222$	$[0, 0, 0, -140268, 17129808]$	\(y^2=x^3-140268x+17129808\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[]$
123840.eg2	123840z1	123840.eg	123840z	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{36} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$4.668361603$	$1$		$3$	$2654208$	$2.475101$	$43121696645763/7045120000$	$0.99588$	$4.58432$	$[0, 0, 0, -1262412, 462504816]$	\(y^2=x^3-1262412x+462504816\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[(3492, 196560)]$
123840.fu2	123840ea1	123840.fu	123840ea	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{36} \cdot 3^{9} \cdot 5^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$6.972790496$	$1$		$1$	$2654208$	$2.475101$	$43121696645763/7045120000$	$0.99588$	$4.58432$	$[0, 0, 0, -1262412, -462504816]$	\(y^2=x^3-1262412x-462504816\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[(-2543/2, 72935/2)]$
154800.bo2	154800ec1	154800.bo	154800ec	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{30} \cdot 3^{9} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1$	$4$	$2$	$1$	$7962624$	$2.933250$	$43121696645763/7045120000$	$0.99588$	$4.95879$	$[0, 0, 0, -7890075, -7226637750]$	\(y^2=x^3-7890075x-7226637750\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[]$
154800.cg2	154800ee1	154800.cg	154800ee	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{30} \cdot 3^{3} \cdot 5^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$2654208$	$2.383942$	$43121696645763/7045120000$	$0.99588$	$4.40718$	$[0, 0, 0, -876675, 267653250]$	\(y^2=x^3-876675x+267653250\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[]$
166410.i2	166410cu1	166410.i	166410cu	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{18} \cdot 3^{3} \cdot 5^{4} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$8515584$	$2.766678$	$43121696645763/7045120000$	$0.99588$	$4.76269$	$[1, -1, 0, -4052430, 2661051476]$	\(y^2+xy=x^3-x^2-4052430x+2661051476\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[]$
166410.cs2	166410w1	166410.cs	166410w	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{18} \cdot 3^{9} \cdot 5^{4} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$25546752$	$3.315983$	$43121696645763/7045120000$	$0.99588$	$5.31098$	$[1, -1, 1, -36471872, -71811917981]$	\(y^2+xy+y=x^3-x^2-36471872x-71811917981\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[]$
189630.cf2	189630ep1	189630.cf	189630ep	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{4} \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$5.397709917$	$1$		$3$	$4976640$	$2.408337$	$43121696645763/7045120000$	$0.99588$	$4.35767$	$[1, -1, 0, -966534, -309600460]$	\(y^2+xy=x^3-x^2-966534x-309600460\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[(-379, 1662)]$
189630.da2	189630by1	189630.da	189630by	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{4} \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$0.769179618$	$1$		$9$	$1658880$	$1.859032$	$43121696645763/7045120000$	$0.99588$	$3.81527$	$[1, -1, 1, -107393, 11502481]$	\(y^2+xy+y=x^3-x^2-107393x+11502481\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[(55, 2372)]$
468270.bx2	468270bx1	468270.bx	468270bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{4} \cdot 11^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$6451200$	$2.085026$	$43121696645763/7045120000$	$0.99588$	$3.75883$	$[1, -1, 0, -265194, 44597108]$	\(y^2+xy=x^3-x^2-265194x+44597108\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[]$
468270.db2	468270db1	468270.db	468270db	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{4} \cdot 11^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1032$	$12$	$0$	$1$	$1$		$1$	$19353600$	$2.634331$	$43121696645763/7045120000$	$0.99588$	$4.26367$	$[1, -1, 1, -2386748, -1201735169]$	\(y^2+xy+y=x^3-x^2-2386748x-1201735169\)	2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.?	$[]$