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
4794.d1	4794f2	4794.d	4794f	$2$	$2$	\( 2 \cdot 3 \cdot 17 \cdot 47 \)	\( 2^{2} \cdot 3 \cdot 17^{4} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$4$	$2$	$0$	$84992$	$2.122169$	$16890809037822478057344625/2213974668$	$1.02121$	$6.85404$	$[1, 1, 1, -5345343, -4758989895]$	\(y^2+xy+y=x^3+x^2-5345343x-4758989895\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
14382.f1	14382a2	14382.f	14382a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 17 \cdot 47 \)	\( 2^{2} \cdot 3^{7} \cdot 17^{4} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$1$		$0$	$679936$	$2.671478$	$16890809037822478057344625/2213974668$	$1.02121$	$6.75604$	$[1, -1, 0, -48108087, 128444619073]$	\(y^2+xy=x^3-x^2-48108087x+128444619073\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
38352.s1	38352t2	38352.s	38352t	$2$	$2$	\( 2^{4} \cdot 3 \cdot 17 \cdot 47 \)	\( 2^{14} \cdot 3 \cdot 17^{4} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$4$	$2$	$1$	$2039808$	$2.815319$	$16890809037822478057344625/2213974668$	$1.02121$	$6.29174$	$[0, 1, 0, -85525488, 304404302292]$	\(y^2=x^3+x^2-85525488x+304404302292\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
81498.x1	81498x2	81498.x	81498x	$2$	$2$	\( 2 \cdot 3 \cdot 17^{2} \cdot 47 \)	\( 2^{2} \cdot 3 \cdot 17^{10} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$196$	$2, 7$	$0$	$24477696$	$3.538776$	$16890809037822478057344625/2213974668$	$1.02121$	$6.64007$	$[1, 0, 0, -1544804133, -23370103724331]$	\(y^2+xy=x^3-1544804133x-23370103724331\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
115056.v1	115056w2	115056.v	115056w	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 47 \)	\( 2^{14} \cdot 3^{7} \cdot 17^{4} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$9$	$3$	$1$	$16318464$	$3.364624$	$16890809037822478057344625/2213974668$	$1.02121$	$6.26424$	$[0, 0, 0, -769729395, -8219685891278]$	\(y^2=x^3-769729395x-8219685891278\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
119850.bl1	119850w2	119850.bl	119850w	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 47 \)	\( 2^{2} \cdot 3 \cdot 5^{6} \cdot 17^{4} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$9$	$3$	$0$	$12238848$	$2.926891$	$16890809037822478057344625/2213974668$	$1.02121$	$5.79318$	$[1, 0, 1, -133633576, -594606469702]$	\(y^2+xy+y=x^3-133633576x-594606469702\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
153408.u1	153408w2	153408.u	153408w	$2$	$2$	\( 2^{6} \cdot 3 \cdot 17 \cdot 47 \)	\( 2^{20} \cdot 3 \cdot 17^{4} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$0.957305812$	$4$	$2$	$3$	$16318464$	$3.161892$	$16890809037822478057344625/2213974668$	$1.02121$	$5.90958$	$[0, -1, 0, -342101953, 2435576520289]$	\(y^2=x^3-x^2-342101953x+2435576520289\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[(11525, 153408)]$
153408.bw1	153408bm2	153408.bw	153408bm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 17 \cdot 47 \)	\( 2^{20} \cdot 3 \cdot 17^{4} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$4$	$2$	$1$	$16318464$	$3.161892$	$16890809037822478057344625/2213974668$	$1.02121$	$5.90958$	$[0, 1, 0, -342101953, -2435576520289]$	\(y^2=x^3+x^2-342101953x-2435576520289\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
225318.w1	225318m2	225318.w	225318m	$2$	$2$	\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \)	\( 2^{2} \cdot 3 \cdot 17^{4} \cdot 47^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$4$	$2$	$0$	$187662336$	$4.047249$	$16890809037822478057344625/2213974668$	$1.02121$	$6.58726$	$[1, 1, 1, -11807862733, 493856450595479]$	\(y^2+xy+y=x^3+x^2-11807862733x+493856450595479\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
234906.cf1	234906cf2	234906.cf	234906cf	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \cdot 47 \)	\( 2^{2} \cdot 3 \cdot 7^{6} \cdot 17^{4} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$4$	$2$	$0$	$24477696$	$3.095127$	$16890809037822478057344625/2213974668$	$1.02121$	$5.64119$	$[1, 0, 0, -261921808, 1631547768500]$	\(y^2+xy=x^3-261921808x+1631547768500\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
244494.j1	244494j2	244494.j	244494j	$2$	$2$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 47 \)	\( 2^{2} \cdot 3^{7} \cdot 17^{10} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$1$		$0$	$195821568$	$4.088081$	$16890809037822478057344625/2213974668$	$1.02121$	$6.58339$	$[1, -1, 0, -13903237197, 630992800556937]$	\(y^2+xy=x^3-x^2-13903237197x+630992800556937\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
359550.ek1	359550ek2	359550.ek	359550ek	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \cdot 47 \)	\( 2^{2} \cdot 3^{7} \cdot 5^{6} \cdot 17^{4} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$3.765345252$	$1$		$2$	$97910784$	$3.476196$	$16890809037822478057344625/2213974668$	$1.02121$	$5.81094$	$[1, -1, 1, -1202702180, 16054374681947]$	\(y^2+xy+y=x^3-x^2-1202702180x+16054374681947\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[(5629, 3073335)]$
460224.bs1	460224bs2	460224.bs	460224bs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 47 \)	\( 2^{20} \cdot 3^{7} \cdot 17^{4} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$1$		$1$	$130547712$	$3.711197$	$16890809037822478057344625/2213974668$	$1.02121$	$5.91720$	$[0, 0, 0, -3078917580, 65757487130224]$	\(y^2=x^3-3078917580x+65757487130224\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$
460224.cp1	460224cp2	460224.cp	460224cp	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 17 \cdot 47 \)	\( 2^{20} \cdot 3^{7} \cdot 17^{4} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$564$	$12$	$0$	$1$	$25$	$5$	$1$	$130547712$	$3.711197$	$16890809037822478057344625/2213974668$	$1.02121$	$5.91720$	$[0, 0, 0, -3078917580, -65757487130224]$	\(y^2=x^3-3078917580x-65757487130224\)	2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.?	$[ ]$

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