Elliptic curve search results

Results (14 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
19110.bz1	19110ch2	19110.bz	19110ch	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.115811514$	$1$		$16$	$46080$	$1.077324$	$374852148636727/760500000$	$1.08215$	$3.99629$	$[1, 1, 1, -10515, 409905]$	\(y^2+xy+y=x^3+x^2-10515x+409905\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(13, 518)]$
19110.cl1	19110cq2	19110.cl	19110cq	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{2} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$322560$	$2.050278$	$374852148636727/760500000$	$1.08215$	$5.18066$	$[1, 0, 0, -515236, -142143184]$	\(y^2+xy=x^3-515236x-142143184\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[ ]$
57330.bm1	57330bp2	57330.bm	57330bp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{8} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$368640$	$1.626629$	$374852148636727/760500000$	$1.08215$	$4.19720$	$[1, -1, 0, -94635, -11162075]$	\(y^2+xy=x^3-x^2-94635x-11162075\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[ ]$
57330.ct1	57330ch2	57330.ct	57330ch	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{8} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$2580480$	$2.599586$	$374852148636727/760500000$	$1.08215$	$5.26281$	$[1, -1, 0, -4637124, 3837865968]$	\(y^2+xy=x^3-x^2-4637124x+3837865968\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[ ]$
95550.r1	95550bs2	95550.r	95550bs	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{2} \cdot 5^{12} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$6.571879115$	$1$		$2$	$7741440$	$2.855000$	$374852148636727/760500000$	$1.08215$	$5.29565$	$[1, 1, 0, -12880900, -17767898000]$	\(y^2+xy=x^3+x^2-12880900x-17767898000\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(20245, 2821765)]$
95550.di1	95550ec2	95550.di	95550ec	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{2} \cdot 5^{12} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.226037727$	$1$		$6$	$1105920$	$1.882042$	$374852148636727/760500000$	$1.08215$	$4.27751$	$[1, 0, 1, -262876, 51763898]$	\(y^2+xy+y=x^3-262876x+51763898\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(172, 3326)]$
152880.cd1	152880ex2	152880.cd	152880ex	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$2.967304892$	$1$		$5$	$7741440$	$2.743427$	$374852148636727/760500000$	$1.08215$	$4.97499$	$[0, -1, 0, -8243776, 9097163776]$	\(y^2=x^3-x^2-8243776x+9097163776\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(1258, 26754)]$
152880.ii1	152880bj2	152880.ii	152880bj	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{17} \cdot 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$1105920$	$1.770472$	$374852148636727/760500000$	$1.08215$	$3.99694$	$[0, 1, 0, -168240, -26570412]$	\(y^2=x^3+x^2-168240x-26570412\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[ ]$
248430.bf1	248430bf2	248430.bf	248430bf	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{5} \cdot 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$7741440$	$2.359798$	$374852148636727/760500000$	$1.08215$	$4.40999$	$[1, 1, 0, -1777038, 909446868]$	\(y^2+xy=x^3+x^2-1777038x+909446868\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[ ]$
248430.ez1	248430ez2	248430.ez	248430ez	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{5} \cdot 3^{2} \cdot 5^{6} \cdot 7^{9} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$54190080$	$3.332752$	$374852148636727/760500000$	$1.08215$	$5.34983$	$[1, 0, 1, -87074888, -312201500362]$	\(y^2+xy+y=x^3-87074888x-312201500362\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[ ]$
286650.qh1	286650qh2	286650.qh	286650qh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{8} \cdot 5^{12} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$0$	$8847360$	$2.431347$	$374852148636727/760500000$	$1.08215$	$4.42810$	$[1, -1, 1, -2365880, -1397625253]$	\(y^2+xy+y=x^3-x^2-2365880x-1397625253\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[ ]$
286650.qk1	286650qk2	286650.qk	286650qk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{5} \cdot 3^{8} \cdot 5^{12} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$3.799552022$	$1$		$2$	$61931520$	$3.404305$	$374852148636727/760500000$	$1.08215$	$5.35723$	$[1, -1, 1, -115928105, 479617317897]$	\(y^2+xy+y=x^3-x^2-115928105x+479617317897\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(18659, 2184420)]$
458640.y1	458640y2	458640.y	458640y	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{6} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.489860889$	$1$		$7$	$8847360$	$2.319778$	$374852148636727/760500000$	$1.08215$	$4.16574$	$[0, 0, 0, -1514163, 715886962]$	\(y^2=x^3-1514163x+715886962\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(777, 2912)]$
458640.ii1	458640ii2	458640.ii	458640ii	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{17} \cdot 3^{8} \cdot 5^{6} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$3.051436797$	$1$		$5$	$61931520$	$3.292732$	$374852148636727/760500000$	$1.08215$	$5.06137$	$[0, 0, 0, -74193987, -245549227966]$	\(y^2=x^3-74193987x-245549227966\)	2.3.0.a.1, 56.6.0.a.1, 520.6.0.?, 1820.6.0.?, 3640.12.0.?	$[(-4927, 20000)]$

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