Elliptic curve search results

Results (18 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
1645.b2	1645a2	1645.b	1645a	$2$	$2$	\( 5 \cdot 7 \cdot 47 \)	\( - 5 \cdot 7^{2} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$6580$	$12$	$0$	$1$	$1$		$0$	$176$	$-0.210831$	$860085351/541205$	$0.88443$	$2.77801$	$[1, -1, 0, 20, -15]$	\(y^2+xy=x^3-x^2+20x-15\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[]$
8225.a2	8225c2	8225.a	8225c	$2$	$2$	\( 5^{2} \cdot 7 \cdot 47 \)	\( - 5^{7} \cdot 7^{2} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$1$	$1$		$0$	$4224$	$0.593888$	$860085351/541205$	$0.88443$	$3.35323$	$[1, -1, 1, 495, -1378]$	\(y^2+xy+y=x^3-x^2+495x-1378\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[]$
11515.i2	11515h2	11515.i	11515h	$2$	$2$	\( 5 \cdot 7^{2} \cdot 47 \)	\( - 5 \cdot 7^{8} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$4.188871932$	$1$		$0$	$8448$	$0.762124$	$860085351/541205$	$0.88443$	$3.44847$	$[1, -1, 0, 971, 3198]$	\(y^2+xy=x^3-x^2+971x+3198\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(79/6, 15541/6)]$
14805.d2	14805k2	14805.d	14805k	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 47 \)	\( - 3^{6} \cdot 5 \cdot 7^{2} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$0.702482873$	$1$		$8$	$5632$	$0.338475$	$860085351/541205$	$0.88443$	$2.82880$	$[1, -1, 1, 178, 226]$	\(y^2+xy+y=x^3-x^2+178x+226\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(4, 29)]$
26320.d2	26320h2	26320.d	26320h	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 47 \)	\( - 2^{12} \cdot 5 \cdot 7^{2} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$2.225031991$	$1$		$5$	$11264$	$0.482316$	$860085351/541205$	$0.88443$	$2.83848$	$[0, 0, 0, 317, 642]$	\(y^2=x^3+317x+642\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(-1, 18)]$
57575.f2	57575k2	57575.f	57575k	$2$	$2$	\( 5^{2} \cdot 7^{2} \cdot 47 \)	\( - 5^{7} \cdot 7^{8} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$1.499216871$	$1$		$2$	$202752$	$1.566843$	$860085351/541205$	$0.88443$	$3.82312$	$[1, -1, 1, 24270, 424022]$	\(y^2+xy+y=x^3-x^2+24270x+424022\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(534, 12595)]$
74025.z2	74025t2	74025.z	74025t	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 47 \)	\( - 3^{6} \cdot 5^{7} \cdot 7^{2} \cdot 47^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$1.642056073$	$1$		$12$	$135168$	$1.143194$	$860085351/541205$	$0.88443$	$3.28401$	$[1, -1, 0, 4458, 32741]$	\(y^2+xy=x^3-x^2+4458x+32741\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(4, 223), (28, 409)]$
77315.f2	77315d2	77315.f	77315d	$2$	$2$	\( 5 \cdot 7 \cdot 47^{2} \)	\( - 5 \cdot 7^{2} \cdot 47^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$7.773846189$	$1$		$0$	$388608$	$1.714243$	$860085351/541205$	$0.88443$	$3.88014$	$[1, -1, 0, 43766, 1030533]$	\(y^2+xy=x^3-x^2+43766x+1030533\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(121281/32, 89956113/32)]$
103635.d2	103635y2	103635.d	103635y	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 47 \)	\( - 3^{6} \cdot 5 \cdot 7^{8} \cdot 47^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$2.070531311$	$1$		$16$	$270336$	$1.311430$	$860085351/541205$	$0.88443$	$3.36314$	$[1, -1, 1, 8737, -95084]$	\(y^2+xy+y=x^3-x^2+8737x-95084\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(16, 212), (23, 331)]$
105280.q2	105280n2	105280.q	105280n	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 47 \)	\( - 2^{18} \cdot 5 \cdot 7^{2} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$3.152567985$	$1$		$3$	$90112$	$0.828890$	$860085351/541205$	$0.88443$	$2.85784$	$[0, 0, 0, 1268, -5136]$	\(y^2=x^3+1268x-5136\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(20, 168)]$
105280.bb2	105280bh2	105280.bb	105280bh	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 47 \)	\( - 2^{18} \cdot 5 \cdot 7^{2} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$1$	$1$		$1$	$90112$	$0.828890$	$860085351/541205$	$0.88443$	$2.85784$	$[0, 0, 0, 1268, 5136]$	\(y^2=x^3+1268x+5136\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[]$
131600.q2	131600p2	131600.q	131600p	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 47 \)	\( - 2^{12} \cdot 5^{7} \cdot 7^{2} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$2.316996744$	$1$		$5$	$270336$	$1.287035$	$860085351/541205$	$0.88443$	$3.27015$	$[0, 0, 0, 7925, 80250]$	\(y^2=x^3+7925x+80250\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(15, 450)]$
184240.bh2	184240u2	184240.bh	184240u	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 47 \)	\( - 2^{12} \cdot 5 \cdot 7^{8} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$5.398363124$	$1$		$3$	$540672$	$1.455271$	$860085351/541205$	$0.88443$	$3.34591$	$[0, 0, 0, 15533, -220206]$	\(y^2=x^3+15533x-220206\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(375, 7638)]$
199045.b2	199045b2	199045.b	199045b	$2$	$2$	\( 5 \cdot 7 \cdot 11^{2} \cdot 47 \)	\( - 5 \cdot 7^{2} \cdot 11^{6} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$1$	$1$		$0$	$190080$	$0.988117$	$860085351/541205$	$0.88443$	$2.86526$	$[1, -1, 1, 2397, 12752]$	\(y^2+xy+y=x^3-x^2+2397x+12752\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[]$
236880.fp2	236880fp2	236880.fp	236880fp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 47 \)	\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{2} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$1$	$1$		$1$	$360448$	$1.031622$	$860085351/541205$	$0.88443$	$2.86716$	$[0, 0, 0, 2853, -17334]$	\(y^2=x^3+2853x-17334\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[]$
278005.k2	278005k2	278005.k	278005k	$2$	$2$	\( 5 \cdot 7 \cdot 13^{2} \cdot 47 \)	\( - 5 \cdot 7^{2} \cdot 13^{6} \cdot 47^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$1.921639598$	$1$		$4$	$405504$	$1.071644$	$860085351/541205$	$0.88443$	$2.86886$	$[1, -1, 1, 3348, -22876]$	\(y^2+xy+y=x^3-x^2+3348x-22876\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(49, 482)]$
386575.d2	386575d2	386575.d	386575d	$2$	$2$	\( 5^{2} \cdot 7 \cdot 47^{2} \)	\( - 5^{7} \cdot 7^{2} \cdot 47^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$2.349210999$	$1$		$2$	$9326592$	$2.518963$	$860085351/541205$	$0.88443$	$4.14533$	$[1, -1, 1, 1094145, 129910772]$	\(y^2+xy+y=x^3-x^2+1094145x+129910772\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[(24734, 3880995)]$
475405.i2	475405i2	475405.i	475405i	$2$	$2$	\( 5 \cdot 7 \cdot 17^{2} \cdot 47 \)	\( - 5 \cdot 7^{2} \cdot 17^{6} \cdot 47^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$6580$	$12$	$0$	$1$	$1$		$0$	$867328$	$1.205776$	$860085351/541205$	$0.88443$	$2.87424$	$[1, -1, 0, 5726, -50715]$	\(y^2+xy=x^3-x^2+5726x-50715\)	2.3.0.a.1, 20.6.0.a.1, 1316.6.0.?, 6580.12.0.?	$[]$