Elliptic curve search results

Results (19 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
2442.c2	2442a1	2442.c	2442a	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4884$	$12$	$0$	$0.859722312$	$1$		$7$	$192$	$-0.403183$	$9938375/58608$	$0.82527$	$2.34983$	$[1, 1, 0, 5, 13]$	\(y^2+xy=x^3+x^2+5x+13\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(1, 4)]$
7326.j2	7326g1	7326.j	7326g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3^{8} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$1536$	$0.146123$	$9938375/58608$	$0.82527$	$2.80045$	$[1, -1, 1, 40, -309]$	\(y^2+xy+y=x^3-x^2+40x-309\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[]$
19536.w2	19536bb1	19536.w	19536bb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{16} \cdot 3^{2} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$4608$	$0.289964$	$9938375/58608$	$0.82527$	$2.69714$	$[0, 1, 0, 72, -684]$	\(y^2=x^3+x^2+72x-684\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[]$
26862.o2	26862l1	26862.o	26862l	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \)	\( - 2^{4} \cdot 3^{2} \cdot 11^{7} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$23040$	$0.795764$	$9938375/58608$	$0.82527$	$3.20807$	$[1, 1, 1, 542, -14497]$	\(y^2+xy+y=x^3+x^2+542x-14497\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[]$
58608.s2	58608bn1	58608.s	58608bn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{16} \cdot 3^{8} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.081503157$	$1$		$5$	$36864$	$0.839270$	$9938375/58608$	$0.82527$	$3.02766$	$[0, 0, 0, 645, 19114]$	\(y^2=x^3+645x+19114\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(-10, 108)]$
61050.cg2	61050cf1	61050.cg	61050cf	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$27648$	$0.401536$	$9938375/58608$	$0.82527$	$2.53975$	$[1, 0, 0, 112, 1392]$	\(y^2+xy=x^3+112x+1392\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[]$
78144.w2	78144ca1	78144.w	78144ca	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{22} \cdot 3^{2} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.410043634$	$1$		$3$	$36864$	$0.636538$	$9938375/58608$	$0.82527$	$2.73441$	$[0, -1, 0, 287, -5759]$	\(y^2=x^3-x^2+287x-5759\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(40, 261)]$
78144.cm2	78144u1	78144.cm	78144u	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( - 2^{22} \cdot 3^{2} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.636538$	$9938375/58608$	$0.82527$	$2.73441$	$[0, 1, 0, 287, 5759]$	\(y^2=x^3+x^2+287x+5759\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[]$
80586.j2	80586m1	80586.j	80586m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( - 2^{4} \cdot 3^{8} \cdot 11^{7} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.151976256$	$1$		$15$	$184320$	$1.345070$	$9938375/58608$	$0.82527$	$3.47958$	$[1, -1, 0, 4878, 396292]$	\(y^2+xy=x^3-x^2+4878x+396292\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(-19, 554), (3248, 183506)]$
90354.o2	90354n1	90354.o	90354n	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 11 \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.111828661$	$1$		$3$	$262656$	$1.402275$	$9938375/58608$	$0.82527$	$3.50485$	$[1, 1, 1, 6132, 562845]$	\(y^2+xy+y=x^3+x^2+6132x+562845\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(7045, 587885)]$
119658.bn2	119658bs1	119658.bn	119658bs	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3^{2} \cdot 7^{6} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$4.707753707$	$1$		$3$	$69120$	$0.569772$	$9938375/58608$	$0.82527$	$2.56624$	$[1, 0, 1, 219, -3776]$	\(y^2+xy+y=x^3+219x-3776\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(1334, 48063)]$
183150.t2	183150dx1	183150.t	183150dx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 11 \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$4.843230069$	$1$		$13$	$221184$	$0.950842$	$9938375/58608$	$0.82527$	$2.85346$	$[1, -1, 0, 1008, -37584]$	\(y^2+xy=x^3-x^2+1008x-37584\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(99, 963), (33, 159)]$
214896.cd2	214896h1	214896.cd	214896h	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( - 2^{16} \cdot 3^{2} \cdot 11^{7} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.840323516$	$1$		$3$	$552960$	$1.488911$	$9938375/58608$	$0.82527$	$3.34220$	$[0, 1, 0, 8672, 945140]$	\(y^2=x^3+x^2+8672x+945140\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(1547, 60984)]$
234432.bz2	234432bz1	234432.bz	234432bz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{22} \cdot 3^{8} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.783626009$	$1$		$5$	$294912$	$1.185844$	$9938375/58608$	$0.82527$	$3.02455$	$[0, 0, 0, 2580, 152912]$	\(y^2=x^3+2580x+152912\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(-11, 351)]$
234432.cs2	234432cs1	234432.cs	234432cs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( - 2^{22} \cdot 3^{8} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$6.100977431$	$1$		$1$	$294912$	$1.185844$	$9938375/58608$	$0.82527$	$3.02455$	$[0, 0, 0, 2580, -152912]$	\(y^2=x^3+2580x-152912\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(1697/4, 73359/4)]$
271062.k2	271062k1	271062.k	271062k	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 11 \cdot 37^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$8.345763278$	$1$		$9$	$2101248$	$1.951582$	$9938375/58608$	$0.82527$	$3.72397$	$[1, -1, 0, 55188, -15141632]$	\(y^2+xy=x^3-x^2+55188x-15141632\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(768, 21520), (851, 25022)]$
358974.ds2	358974ds1	358974.ds	358974ds	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \)	\( - 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 11 \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.670176229$	$1$		$3$	$552960$	$1.119078$	$9938375/58608$	$0.82527$	$2.86117$	$[1, -1, 1, 1975, 101945]$	\(y^2+xy+y=x^3-x^2+1975x+101945\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(111, 1240)]$
412698.bs2	412698bs1	412698.bs	412698bs	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \)	\( - 2^{4} \cdot 3^{2} \cdot 11 \cdot 13^{6} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.280776101$	$1$		$9$	$442368$	$0.879292$	$9938375/58608$	$0.82527$	$2.60777$	$[1, 1, 1, 757, 24617]$	\(y^2+xy+y=x^3+x^2+757x+24617\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[(5, 166), (749/5, 32372/5)]$
488400.co2	488400co1	488400.co	488400co	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{6} \cdot 11 \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$663552$	$1.094683$	$9938375/58608$	$0.82527$	$2.77157$	$[0, -1, 0, 1792, -89088]$	\(y^2=x^3-x^2+1792x-89088\)	2.3.0.a.1, 12.6.0.b.1, 814.6.0.?, 4884.12.0.?	$[]$