Elliptic curve search results

Results (19 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	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
2046.a2	2046d2	2046.a	2046d	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 31 \)	\( - 2 \cdot 3^{2} \cdot 11^{6} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$8184$	$12$	$0$	$0.463638429$	$1$		$6$	$2304$	$0.415347$	$1676253304439/988531038$	$0.96793$	$3.69214$	$[1, 1, 0, 248, 310]$	\(y^2+xy=x^3+x^2+248x+310\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[(7, 46)]$
6138.o2	6138n2	6138.o	6138n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 31 \)	\( - 2 \cdot 3^{8} \cdot 11^{6} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$4$	$2$	$0$	$18432$	$0.964653$	$1676253304439/988531038$	$0.96793$	$3.98283$	$[1, -1, 1, 2227, -6141]$	\(y^2+xy+y=x^3-x^2+2227x-6141\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$
16368.n2	16368v2	16368.n	16368v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 31 \)	\( - 2^{13} \cdot 3^{2} \cdot 11^{6} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$5.927156581$	$1$		$1$	$55296$	$1.108494$	$1676253304439/988531038$	$0.96793$	$3.75812$	$[0, 1, 0, 3960, -11916]$	\(y^2=x^3+x^2+3960x-11916\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[(316/3, 11186/3)]$
22506.u2	22506be2	22506.u	22506be	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 3^{2} \cdot 11^{12} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$4$	$2$	$0$	$276480$	$1.614294$	$1676253304439/988531038$	$0.96793$	$4.24435$	$[1, 1, 1, 29945, -262789]$	\(y^2+xy+y=x^3+x^2+29945x-262789\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$
49104.bv2	49104bq2	49104.bv	49104bq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 31 \)	\( - 2^{13} \cdot 3^{8} \cdot 11^{6} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.657801$	$1676253304439/988531038$	$0.96793$	$3.98614$	$[0, 0, 0, 35637, 357370]$	\(y^2=x^3+35637x+357370\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$
51150.cv2	51150cp2	51150.cv	51150cp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 31 \)	\( - 2 \cdot 3^{2} \cdot 5^{6} \cdot 11^{6} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$5.090418361$	$1$		$0$	$184320$	$1.220066$	$1676253304439/988531038$	$0.96793$	$3.48666$	$[1, 0, 0, 6187, 26367]$	\(y^2+xy=x^3+6187x+26367\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[(1783/6, 140335/6)]$
63426.i2	63426o2	63426.i	63426o	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \)	\( - 2 \cdot 3^{2} \cdot 11^{6} \cdot 31^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$4.984961867$	$1$		$2$	$2211840$	$2.132339$	$1676253304439/988531038$	$0.96793$	$4.40886$	$[1, 0, 1, 237827, -6141298]$	\(y^2+xy+y=x^3+237827x-6141298\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[(9010, 851993)]$
65472.bj2	65472bw2	65472.bj	65472bw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 31 \)	\( - 2^{19} \cdot 3^{2} \cdot 11^{6} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$4.247938437$	$1$		$3$	$442368$	$1.455069$	$1676253304439/988531038$	$0.96793$	$3.66335$	$[0, -1, 0, 15839, -111167]$	\(y^2=x^3-x^2+15839x-111167\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[(832, 24255)]$
65472.ct2	65472x2	65472.ct	65472x	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 31 \)	\( - 2^{19} \cdot 3^{2} \cdot 11^{6} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$12.72446592$	$1$		$1$	$442368$	$1.455069$	$1676253304439/988531038$	$0.96793$	$3.66335$	$[0, 1, 0, 15839, 111167]$	\(y^2=x^3+x^2+15839x+111167\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[(129466/45, 107405189/45)]$
67518.ba2	67518ba2	67518.ba	67518ba	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( - 2 \cdot 3^{8} \cdot 11^{12} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$4$	$2$	$0$	$2211840$	$2.163601$	$1676253304439/988531038$	$0.96793$	$4.41780$	$[1, -1, 0, 269505, 7364803]$	\(y^2+xy=x^3-x^2+269505x+7364803\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$
100254.bb2	100254bb2	100254.bb	100254bb	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 31 \)	\( - 2 \cdot 3^{2} \cdot 7^{6} \cdot 11^{6} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$0$	$663552$	$1.388302$	$1676253304439/988531038$	$0.96793$	$3.45822$	$[1, 0, 1, 12126, -69926]$	\(y^2+xy+y=x^3+12126x-69926\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$
153450.bz2	153450du2	153450.bz	153450du	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 31 \)	\( - 2 \cdot 3^{8} \cdot 5^{6} \cdot 11^{6} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$5.949488562$	$1$		$2$	$1474560$	$1.769373$	$1676253304439/988531038$	$0.96793$	$3.71790$	$[1, -1, 0, 55683, -711909]$	\(y^2+xy=x^3-x^2+55683x-711909\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[(223, 4659)]$
180048.bz2	180048a2	180048.bz	180048a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 31 \)	\( - 2^{13} \cdot 3^{2} \cdot 11^{12} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$6635520$	$2.307442$	$1676253304439/988531038$	$0.96793$	$4.20236$	$[0, 1, 0, 479120, 17776724]$	\(y^2=x^3+x^2+479120x+17776724\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$
190278.bp2	190278p2	190278.bp	190278p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 31^{2} \)	\( - 2 \cdot 3^{8} \cdot 11^{6} \cdot 31^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$11.00983829$	$1$		$0$	$17694720$	$2.681648$	$1676253304439/988531038$	$0.96793$	$4.55266$	$[1, -1, 1, 2140447, 165815039]$	\(y^2+xy+y=x^3-x^2+2140447x+165815039\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[(2126049/16, 3131015815/16)]$
196416.a2	196416cg2	196416.a	196416cg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 31 \)	\( - 2^{19} \cdot 3^{8} \cdot 11^{6} \cdot 31 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1.765543401$	$1$		$21$	$3538944$	$2.004375$	$1676253304439/988531038$	$0.96793$	$3.87397$	$[0, 0, 0, 142548, -2858960]$	\(y^2=x^3+142548x-2858960\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[(86, 3168), (470, 12960)]$
196416.e2	196416a2	196416.e	196416a	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 31 \)	\( - 2^{19} \cdot 3^{8} \cdot 11^{6} \cdot 31 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$3.637268403$	$1$		$5$	$3538944$	$2.004375$	$1676253304439/988531038$	$0.96793$	$3.87397$	$[0, 0, 0, 142548, 2858960]$	\(y^2=x^3+142548x+2858960\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[(16, 2268)]$
300762.de2	300762de2	300762.de	300762de	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 31 \)	\( - 2 \cdot 3^{8} \cdot 7^{6} \cdot 11^{6} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$0$	$5308416$	$1.937609$	$1676253304439/988531038$	$0.96793$	$3.67960$	$[1, -1, 1, 109138, 1887995]$	\(y^2+xy+y=x^3-x^2+109138x+1887995\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$
345774.br2	345774br2	345774.br	345774br	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 31 \)	\( - 2 \cdot 3^{2} \cdot 11^{6} \cdot 13^{6} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$9$	$3$	$0$	$4423680$	$1.697823$	$1676253304439/988531038$	$0.96793$	$3.41374$	$[1, 1, 1, 41824, 471791]$	\(y^2+xy+y=x^3+x^2+41824x+471791\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$
409200.a2	409200a2	409200.a	409200a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 31 \)	\( - 2^{13} \cdot 3^{2} \cdot 5^{6} \cdot 11^{6} \cdot 31 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$4423680$	$1.913214$	$1676253304439/988531038$	$0.96793$	$3.56927$	$[0, -1, 0, 98992, -1687488]$	\(y^2=x^3-x^2+98992x-1687488\)	2.3.0.a.1, 132.6.0.?, 248.6.0.?, 8184.12.0.?	$[ ]$

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