Elliptic curve search results

Results (14 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
19110.bu1	19110bq2	19110.bu	19110bq	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$9.778270177$	$1$		$0$	$3548160$	$3.233025$	$27629784261491295969847/311852531250$	$1.03346$	$7.01832$	$[1, 1, 1, -216028996, 1222036541543]$	\(y^2+xy+y=x^3+x^2-216028996x+1222036541543\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(14063549/44, 15885520077/44)]$
19110.di1	19110dh2	19110.di	19110dh	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$506880$	$2.260071$	$27629784261491295969847/311852531250$	$1.03346$	$5.83395$	$[1, 0, 0, -4408755, -3563418573]$	\(y^2+xy=x^3-4408755x-3563418573\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[]$
57330.d1	57330bs2	57330.d	57330bs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{16} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$4055040$	$2.809376$	$27629784261491295969847/311852531250$	$1.03346$	$5.85060$	$[1, -1, 0, -39678795, 96212301471]$	\(y^2+xy=x^3-x^2-39678795x+96212301471\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[]$
57330.bx1	57330cl2	57330.bx	57330cl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{16} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$9$	$3$	$0$	$28385280$	$3.782330$	$27629784261491295969847/311852531250$	$1.03346$	$6.91621$	$[1, -1, 0, -1944260964, -32996930882630]$	\(y^2+xy=x^3-x^2-1944260964x-32996930882630\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[]$
95550.ck1	95550w2	95550.ck	95550w	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 5^{12} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$12165120$	$3.064789$	$27629784261491295969847/311852531250$	$1.03346$	$5.85726$	$[1, 1, 0, -110218875, -445427321625]$	\(y^2+xy=x^3+x^2-110218875x-445427321625\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[]$
95550.fq1	95550er2	95550.fq	95550er	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{10} \cdot 5^{12} \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$85155840$	$4.037743$	$27629784261491295969847/311852531250$	$1.03346$	$6.87540$	$[1, 0, 1, -5400724901, 152765369142698]$	\(y^2+xy+y=x^3-5400724901x+152765369142698\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[]$
152880.da1	152880cz2	152880.da	152880cz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.354848862$	$1$		$5$	$12165120$	$2.953217$	$27629784261491295969847/311852531250$	$1.03346$	$5.51449$	$[0, -1, 0, -70540080, 228058788672]$	\(y^2=x^3-x^2-70540080x+228058788672\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(5109, 31590)]$
152880.el1	152880bt2	152880.el	152880bt	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{10} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$85155840$	$3.926170$	$27629784261491295969847/311852531250$	$1.03346$	$6.49254$	$[0, 1, 0, -3456463936, -78217251586636]$	\(y^2=x^3+x^2-3456463936x-78217251586636\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[]$
248430.bm1	248430bm2	248430.bm	248430bm	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2 \cdot 3^{10} \cdot 5^{6} \cdot 7^{9} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.612894687$	$1$		$2$	$596090880$	$4.515495$	$27629784261491295969847/311852531250$	$1.03346$	$6.80807$	$[1, 1, 0, -36508900327, 2684996826271999]$	\(y^2+xy=x^3+x^2-36508900327x+2684996826271999\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(112273, 1073206)]$
248430.cz1	248430cz2	248430.cz	248430cz	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2 \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$4.576811620$	$1$		$2$	$85155840$	$3.542545$	$27629784261491295969847/311852531250$	$1.03346$	$5.86824$	$[1, 0, 1, -745079599, -7828085525284]$	\(y^2+xy+y=x^3-745079599x-7828085525284\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(55264, 10916723)]$
286650.js1	286650js2	286650.js	286650js	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{16} \cdot 5^{12} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$97320960$	$3.614094$	$27629784261491295969847/311852531250$	$1.03346$	$5.86974$	$[1, -1, 1, -991969880, 12025545713997]$	\(y^2+xy+y=x^3-x^2-991969880x+12025545713997\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[]$
286650.ju1	286650ju2	286650.ju	286650ju	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2 \cdot 3^{16} \cdot 5^{12} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$126.4650693$	$1$		$0$	$681246720$	$4.587051$	$27629784261491295969847/311852531250$	$1.03346$	$6.79887$	$[1, -1, 1, -48606524105, -4124664966852853]$	\(y^2+xy+y=x^3-x^2-48606524105x-4124664966852853\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(1223835720027309717152521576532693491267111129370052086481/37709956274805451699099408, 41218566959899475017999178256181312061980190027610967466520226229435984562697329751345/37709956274805451699099408)]$
458640.fz1	458640fz2	458640.fz	458640fz	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{16} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$17.10029118$	$1$		$1$	$97320960$	$3.502522$	$27629784261491295969847/311852531250$	$1.03346$	$5.55540$	$[0, 0, 0, -634860723, -6156952433422]$	\(y^2=x^3-634860723x-6156952433422\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(825210617/163, 8754831167992/163)]$
458640.nk1	458640nk2	458640.nk	458640nk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{13} \cdot 3^{16} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$4.857403733$	$1$		$5$	$681246720$	$4.475479$	$27629784261491295969847/311852531250$	$1.03346$	$6.45103$	$[0, 0, 0, -31108175427, 2111834684663746]$	\(y^2=x^3-31108175427x+2111834684663746\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(101817, 5720)]$