Elliptic curve search results

Results (17 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
5610.t2	5610r2	5610.t	5610r	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 11^{4} \cdot 17^{3} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$2040$	$96$	$1$	$1$	$1$		$4$	$92160$	$2.112354$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.08193$	$[1, 0, 1, -829978, 290863148]$	\(y^2+xy+y=x^3-829978x+290863148\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.t.1.16, 136.6.0.?, $\ldots$	$[]$
16830.bt2	16830ce2	16830.bt	16830ce	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{5} \cdot 3^{12} \cdot 5^{6} \cdot 11^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$2040$	$96$	$1$	$1$	$1$		$0$	$737280$	$2.661659$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.07268$	$[1, -1, 1, -7469798, -7853305003]$	\(y^2+xy+y=x^3-x^2-7469798x-7853305003\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.t.1.15, 136.6.0.?, $\ldots$	$[]$
28050.cc2	28050by2	28050.cc	28050by	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{12} \cdot 11^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$0$	$2211840$	$2.917072$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.06905$	$[1, 1, 1, -20749438, 36357893531]$	\(y^2+xy+y=x^3+x^2-20749438x+36357893531\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 15.8.0-3.a.1.2, $\ldots$	$[]$
44880.x2	44880bz2	44880.x	44880bz	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{6} \cdot 5^{6} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$0.742754501$	$1$		$9$	$2211840$	$2.805500$	$63229930193881628103961/26218934428500000$	$1.00226$	$5.67777$	$[0, -1, 0, -13279640, -18615241488]$	\(y^2=x^3-x^2-13279640x-18615241488\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.t.1.14, $\ldots$	$[(-2126, 1870)]$
61710.ct2	61710cx2	61710.ct	61710cx	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 11^{10} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1.439454111$	$1$		$6$	$11059200$	$3.311302$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.06412$	$[1, 0, 0, -100427280, -387239277600]$	\(y^2+xy=x^3-100427280x-387239277600\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0.t.1, $\ldots$	$[(-5820, 13800)]$
84150.y2	84150cs2	84150.y	84150cs	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{5} \cdot 3^{12} \cdot 5^{12} \cdot 11^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$0$	$17694720$	$3.466381$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.06236$	$[1, -1, 0, -186744942, -981849870284]$	\(y^2+xy=x^3-x^2-186744942x-981849870284\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 15.8.0-3.a.1.1, $\ldots$	$[]$
95370.f2	95370h2	95370.f	95370h	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 11^{4} \cdot 17^{9} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$4.515652998$	$1$		$10$	$26542080$	$3.528961$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.06168$	$[1, 1, 0, -239863503, 1429250510853]$	\(y^2+xy=x^3+x^2-239863503x+1429250510853\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 51.8.0-3.a.1.2, $\ldots$	$[(20163, 2178660), (10337, 228199)]$
134640.n2	134640by2	134640.n	134640by	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{12} \cdot 5^{6} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1.999393760$	$1$		$7$	$17694720$	$3.354809$	$63229930193881628103961/26218934428500000$	$1.00226$	$5.70774$	$[0, 0, 0, -119516763, 502731036938]$	\(y^2=x^3-119516763x+502731036938\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.t.1.13, $\ldots$	$[(6589, 36000)]$
179520.bl2	179520id2	179520.bl	179520id	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{23} \cdot 3^{6} \cdot 5^{6} \cdot 11^{4} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$2.084655888$	$1$		$5$	$17694720$	$3.152077$	$63229930193881628103961/26218934428500000$	$1.00226$	$5.37093$	$[0, -1, 0, -53118561, 148975050465]$	\(y^2=x^3-x^2-53118561x+148975050465\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0.t.1, $\ldots$	$[(4440, 25245)]$
179520.ev2	179520bi2	179520.ev	179520bi	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{23} \cdot 3^{6} \cdot 5^{6} \cdot 11^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$1$	$17694720$	$3.152077$	$63229930193881628103961/26218934428500000$	$1.00226$	$5.37093$	$[0, 1, 0, -53118561, -148975050465]$	\(y^2=x^3+x^2-53118561x-148975050465\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.t.1, $\ldots$	$[]$
185130.j2	185130dz2	185130.j	185130dz	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{5} \cdot 3^{12} \cdot 5^{6} \cdot 11^{10} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$0$	$88473600$	$3.860607$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.05831$	$[1, -1, 0, -903845520, 10455460495200]$	\(y^2+xy=x^3-x^2-903845520x+10455460495200\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0.t.1, $\ldots$	$[]$
224400.ht2	224400cm2	224400.ht	224400cm	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{17} \cdot 3^{6} \cdot 5^{12} \cdot 11^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$1$	$53084160$	$3.610222$	$63229930193881628103961/26218934428500000$	$1.00226$	$5.71986$	$[0, 1, 0, -331991008, -2327569168012]$	\(y^2=x^3+x^2-331991008x-2327569168012\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 60.48.0-60.t.1.9, $\ldots$	$[]$
274890.f2	274890f2	274890.f	274890f	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \cdot 11^{4} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$14280$	$96$	$1$	$1$	$1$		$0$	$33177600$	$3.085308$	$63229930193881628103961/26218934428500000$	$1.00226$	$5.12423$	$[1, 1, 0, -40668898, -99806728748]$	\(y^2+xy=x^3+x^2-40668898x-99806728748\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[]$
286110.fy2	286110fy2	286110.fy	286110fy	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{5} \cdot 3^{12} \cdot 5^{6} \cdot 11^{4} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$0$	$212336640$	$4.078270$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.05629$	$[1, -1, 1, -2158771532, -38591922564561]$	\(y^2+xy+y=x^3-x^2-2158771532x-38591922564561\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 51.8.0-3.a.1.1, $\ldots$	$[]$
308550.ca2	308550ca2	308550.ca	308550ca	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{5} \cdot 3^{6} \cdot 5^{12} \cdot 11^{10} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$7.078905818$	$1$		$0$	$265420800$	$4.116020$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.05595$	$[1, 1, 0, -2510682000, -48404909700000]$	\(y^2+xy=x^3+x^2-2510682000x-48404909700000\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.t.1, 132.24.0.?, $\ldots$	$[(-1414405/7, 49664455/7)]$
476850.kb2	476850kb2	476850.kb	476850kb	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{5} \cdot 3^{6} \cdot 5^{12} \cdot 11^{4} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$2040$	$96$	$1$	$1$	$1$		$0$	$637009920$	$4.333679$	$63229930193881628103961/26218934428500000$	$1.00226$	$6.05409$	$[1, 0, 0, -5996587588, 178668307031792]$	\(y^2+xy=x^3-5996587588x+178668307031792\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.16, 60.24.0.t.1, $\ldots$	$[]$
493680.dn2	493680dn2	493680.dn	493680dn	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{17} \cdot 3^{6} \cdot 5^{6} \cdot 11^{10} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$22440$	$96$	$1$	$1$	$1$		$1$	$265420800$	$4.004448$	$63229930193881628103961/26218934428500000$	$1.00226$	$5.73671$	$[0, -1, 0, -1606836480, 24783313766400]$	\(y^2=x^3-x^2-1606836480x+24783313766400\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.t.1, 132.24.0.?, $\ldots$	$[]$