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.c1	2442a2	2442.c	2442a	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4884$	$12$	$0$	$0.429861156$	$1$		$6$	$384$	$-0.056610$	$18927429625/1987788$	$0.86300$	$3.03361$	$[1, 1, 0, -55, 121]$	\(y^2+xy=x^3+x^2-55x+121\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(0, 11)]$
7326.j1	7326g2	7326.j	7326g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{2} \cdot 3^{7} \cdot 11^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$0$	$3072$	$0.492696$	$18927429625/1987788$	$0.86300$	$3.39981$	$[1, -1, 1, -500, -3765]$	\(y^2+xy+y=x^3-x^2-500x-3765\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[]$
19536.w1	19536bb2	19536.w	19536bb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3 \cdot 11^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.636538$	$18927429625/1987788$	$0.86300$	$3.23700$	$[0, 1, 0, -888, -9516]$	\(y^2=x^3+x^2-888x-9516\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[]$
26862.o1	26862l2	26862.o	26862l	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{2} \cdot 3 \cdot 11^{8} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$0$	$46080$	$1.142338$	$18927429625/1987788$	$0.86300$	$3.73108$	$[1, 1, 1, -6718, -194545]$	\(y^2+xy+y=x^3+x^2-6718x-194545\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[]$
58608.s1	58608bn2	58608.s	58608bn	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{7} \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.040751578$	$1$		$7$	$73728$	$1.185844$	$18927429625/1987788$	$0.86300$	$3.51349$	$[0, 0, 0, -7995, 248938]$	\(y^2=x^3-7995x+248938\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(71, 198)]$
61050.cg1	61050cf2	61050.cg	61050cf	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{2} \cdot 3 \cdot 5^{6} \cdot 11^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$0$	$55296$	$0.748109$	$18927429625/1987788$	$0.86300$	$3.02379$	$[1, 0, 0, -1388, 17892]$	\(y^2+xy=x^3-1388x+17892\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[]$
78144.w1	78144ca2	78144.w	78144ca	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{20} \cdot 3 \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.705021817$	$1$		$3$	$73728$	$0.983111$	$18927429625/1987788$	$0.86300$	$3.20784$	$[0, -1, 0, -3553, -72575]$	\(y^2=x^3-x^2-3553x-72575\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(173, 2112)]$
78144.cm1	78144u2	78144.cm	78144u	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{20} \cdot 3 \cdot 11^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$73728$	$0.983111$	$18927429625/1987788$	$0.86300$	$3.20784$	$[0, 1, 0, -3553, 72575]$	\(y^2=x^3+x^2-3553x+72575\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[]$
80586.j1	80586m2	80586.j	80586m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{2} \cdot 3^{7} \cdot 11^{8} \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.151976256$	$1$		$14$	$368640$	$1.691645$	$18927429625/1987788$	$0.86300$	$3.95172$	$[1, -1, 0, -60462, 5192248]$	\(y^2+xy=x^3-x^2-60462x+5192248\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(3, 2237), (-118, 3326)]$
90354.o1	90354n2	90354.o	90354n	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \)	\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 37^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$6.223657323$	$1$		$0$	$525312$	$1.748850$	$18927429625/1987788$	$0.86300$	$3.97226$	$[1, 1, 1, -76008, 7265469]$	\(y^2+xy+y=x^3+x^2-76008x+7265469\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(112757/4, 37612245/4)]$
119658.bn1	119658bs2	119658.bn	119658bs	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{2} \cdot 3 \cdot 7^{6} \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$2.353876853$	$1$		$2$	$138240$	$0.916346$	$18927429625/1987788$	$0.86300$	$3.02242$	$[1, 0, 1, -2721, -49640]$	\(y^2+xy+y=x^3-2721x-49640\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(61, 80)]$
183150.t1	183150dx2	183150.t	183150dx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{2} \cdot 3^{7} \cdot 5^{6} \cdot 11^{2} \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.210807517$	$1$		$24$	$442368$	$1.297415$	$18927429625/1987788$	$0.86300$	$3.29361$	$[1, -1, 0, -12492, -483084]$	\(y^2+xy=x^3-x^2-12492x-483084\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(-66, 258), (-75, 204)]$
214896.cd1	214896h2	214896.cd	214896h	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{14} \cdot 3 \cdot 11^{8} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$7.680647033$	$1$		$1$	$1105920$	$1.835485$	$18927429625/1987788$	$0.86300$	$3.77662$	$[0, 1, 0, -107488, 12235892]$	\(y^2=x^3+x^2-107488x+12235892\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(76507/7, 20731656/7)]$
234432.bz1	234432bz2	234432.bz	234432bz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{20} \cdot 3^{7} \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.391813004$	$1$		$7$	$589824$	$1.532417$	$18927429625/1987788$	$0.86300$	$3.45592$	$[0, 0, 0, -31980, 1991504]$	\(y^2=x^3-31980x+1991504\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(58, 576)]$
234432.cs1	234432cs2	234432.cs	234432cs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{20} \cdot 3^{7} \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.050488715$	$1$		$3$	$589824$	$1.532417$	$18927429625/1987788$	$0.86300$	$3.45592$	$[0, 0, 0, -31980, -1991504]$	\(y^2=x^3-31980x-1991504\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(452, 8712)]$
271062.k1	271062k2	271062.k	271062k	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \)	\( 2^{2} \cdot 3^{7} \cdot 11^{2} \cdot 37^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$8.345763278$	$1$		$4$	$4202496$	$2.298157$	$18927429625/1987788$	$0.86300$	$4.15033$	$[1, -1, 0, -684072, -196851740]$	\(y^2+xy=x^3-x^2-684072x-196851740\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(1730, 60740), (4071/2, 97235/2)]$
358974.ds1	358974ds2	358974.ds	358974ds	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{2} \cdot 3^{7} \cdot 7^{6} \cdot 11^{2} \cdot 37^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1.335088114$	$1$		$4$	$1105920$	$1.465651$	$18927429625/1987788$	$0.86300$	$3.27816$	$[1, -1, 1, -24485, 1340273]$	\(y^2+xy+y=x^3-x^2-24485x+1340273\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(39, 646)]$
412698.bs1	412698bs2	412698.bs	412698bs	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \)	\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 13^{6} \cdot 37^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$3.280776101$	$1$		$6$	$884736$	$1.225864$	$18927429625/1987788$	$0.86300$	$3.02027$	$[1, 1, 1, -9383, 312593]$	\(y^2+xy+y=x^3+x^2-9383x+312593\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[(83, 296), (1123, 36956)]$
488400.co1	488400co2	488400.co	488400co	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3 \cdot 5^{6} \cdot 11^{2} \cdot 37^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4884$	$12$	$0$	$1$	$1$		$1$	$1327104$	$1.441256$	$18927429625/1987788$	$0.86300$	$3.17876$	$[0, -1, 0, -22208, -1145088]$	\(y^2=x^3-x^2-22208x-1145088\)	2.3.0.a.1, 12.6.0.a.1, 1628.6.0.?, 4884.12.0.?	$[]$