Elliptic curve search results

Results (26 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
7260.q2	7260r1	7260.q	7260r	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$12672$	$1.161551$	$16384/225$	$0.97508$	$4.18232$	$[0, 1, 0, 1775, -136600]$	\(y^2=x^3+x^2+1775x-136600\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[ ]$
7260.t2	7260q1	7260.t	7260q	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$1152$	$-0.037398$	$16384/225$	$0.97508$	$2.56397$	$[0, 1, 0, 15, 108]$	\(y^2=x^3+x^2+15x+108\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[ ]$
21780.b2	21780f1	21780.b	21780f	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$3.219468077$	$1$		$3$	$101376$	$1.710855$	$16384/225$	$0.97508$	$4.38224$	$[0, 0, 0, 15972, 3704173]$	\(y^2=x^3+15972x+3704173\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(119, 2700)]$
21780.j2	21780e1	21780.j	21780e	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.669673216$	$1$		$9$	$9216$	$0.511909$	$16384/225$	$0.97508$	$2.94188$	$[0, 0, 0, 132, -2783]$	\(y^2=x^3+132x-2783\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(26, 135)]$
29040.bj2	29040cm1	29040.bj	29040cm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.175072636$	$1$		$3$	$4608$	$-0.037398$	$16384/225$	$0.97508$	$2.21809$	$[0, -1, 0, 15, -108]$	\(y^2=x^3-x^2+15x-108\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(48, 330)]$
29040.bp2	29040ck1	29040.bp	29040ck	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$4.428697098$	$1$		$1$	$50688$	$1.161551$	$16384/225$	$0.97508$	$3.61813$	$[0, -1, 0, 1775, 136600]$	\(y^2=x^3-x^2+1775x+136600\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(-35/2, 2775/2)]$
36300.f2	36300b1	36300.f	36300b	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 11^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.736996999$	$1$		$25$	$27648$	$0.767322$	$16384/225$	$0.97508$	$3.09067$	$[0, -1, 0, 367, 12762]$	\(y^2=x^3-x^2+367x+12762\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(7, 125), (-13, 75)]$
36300.bb2	36300a1	36300.bb	36300a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$4$	$2$	$1$	$304128$	$1.966269$	$16384/225$	$0.97508$	$4.46095$	$[0, -1, 0, 44367, -17163738]$	\(y^2=x^3-x^2+44367x-17163738\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[ ]$
87120.y2	87120du1	87120.y	87120du	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.469949255$	$1$		$3$	$36864$	$0.511909$	$16384/225$	$0.97508$	$2.58335$	$[0, 0, 0, 132, 2783]$	\(y^2=x^3+132x+2783\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(1, 54)]$
87120.cc2	87120ds1	87120.cc	87120ds	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$7.141074419$	$1$		$3$	$405504$	$1.710855$	$16384/225$	$0.97508$	$3.84817$	$[0, 0, 0, 15972, -3704173]$	\(y^2=x^3+15972x-3704173\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(6469, 520398)]$
108900.u2	108900be1	108900.u	108900be	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.930116664$	$1$		$3$	$221184$	$1.316628$	$16384/225$	$0.97508$	$3.36625$	$[0, 0, 0, 3300, -347875]$	\(y^2=x^3+3300x-347875\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(355, 6750)]$
108900.dg2	108900bd1	108900.dg	108900bd	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.580888469$	$1$		$5$	$2433024$	$2.515575$	$16384/225$	$0.97508$	$4.60673$	$[0, 0, 0, 399300, 463021625]$	\(y^2=x^3+399300x+463021625\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(-530, 10125)]$
116160.s2	116160j1	116160.s	116160j	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$4.424527877$	$1$		$3$	$405504$	$1.508123$	$16384/225$	$0.97508$	$3.54465$	$[0, -1, 0, 7099, -1099899]$	\(y^2=x^3-x^2+7099x-1099899\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(581, 14100)]$
116160.bp2	116160e1	116160.bp	116160e	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.018486458$	$1$		$5$	$36864$	$0.309176$	$16384/225$	$0.97508$	$2.31103$	$[0, -1, 0, 59, 805]$	\(y^2=x^3-x^2+59x+805\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(4, 33)]$
116160.fi2	116160hm1	116160.fi	116160hm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.670386508$	$1$		$5$	$36864$	$0.309176$	$16384/225$	$0.97508$	$2.31103$	$[0, 1, 0, 59, -805]$	\(y^2=x^3+x^2+59x-805\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(11, 36)]$
116160.gr2	116160hj1	116160.gr	116160hj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$6.409279519$	$1$		$3$	$405504$	$1.508123$	$16384/225$	$0.97508$	$3.54465$	$[0, 1, 0, 7099, 1099899]$	\(y^2=x^3+x^2+7099x+1099899\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(2035, 91908)]$
145200.hm2	145200by1	145200.hm	145200by	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$9.135489332$	$1$		$1$	$1216512$	$1.966269$	$16384/225$	$0.97508$	$3.94065$	$[0, 1, 0, 44367, 17163738]$	\(y^2=x^3+x^2+44367x+17163738\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(-13687/16, 15673125/16)]$
145200.ji2	145200cw1	145200.ji	145200cw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$4.265786057$	$1$		$1$	$110592$	$0.767322$	$16384/225$	$0.97508$	$2.73019$	$[0, 1, 0, 367, -12762]$	\(y^2=x^3+x^2+367x-12762\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(513/4, 11625/4)]$
348480.ks2	348480ks1	348480.ks	348480ks	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 11^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.493740589$	$1$		$13$	$294912$	$0.858482$	$16384/225$	$0.97508$	$2.62861$	$[0, 0, 0, 528, 22264]$	\(y^2=x^3+528x+22264\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(-7, 135), (14, 180)]$
348480.lo2	348480lo1	348480.lo	348480lo	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$4.745076619$	$1$		$3$	$3244032$	$2.057430$	$16384/225$	$0.97508$	$3.75603$	$[0, 0, 0, 63888, 29633384]$	\(y^2=x^3+63888x+29633384\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(265, 8073)]$
348480.ov2	348480ov1	348480.ov	348480ov	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.204884271$	$1$		$5$	$294912$	$0.858482$	$16384/225$	$0.97508$	$2.62861$	$[0, 0, 0, 528, -22264]$	\(y^2=x^3+528x-22264\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(25, 81)]$
348480.pr2	348480pr1	348480.pr	348480pr	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$4$	$2$	$1$	$3244032$	$2.057430$	$16384/225$	$0.97508$	$3.75603$	$[0, 0, 0, 63888, -29633384]$	\(y^2=x^3+63888x-29633384\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[ ]$
355740.e2	355740e1	355740.e	355740e	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.780856935$	$1$		$3$	$414720$	$0.935557$	$16384/225$	$0.97508$	$2.69673$	$[0, -1, 0, 719, -35594]$	\(y^2=x^3-x^2+719x-35594\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(70, 594)]$
355740.s2	355740s1	355740.s	355740s	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.584644348$	$1$		$5$	$4561920$	$2.134506$	$16384/225$	$0.97508$	$3.82233$	$[0, -1, 0, 86959, 47027730]$	\(y^2=x^3-x^2+86959x+47027730\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(-37, 6615)]$
435600.gk2	435600gk1	435600.gk	435600gk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$9.787730834$	$1$		$1$	$9732096$	$2.515575$	$16384/225$	$0.97508$	$4.11489$	$[0, 0, 0, 399300, -463021625]$	\(y^2=x^3+399300x-463021625\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(401765/11, 257642100/11)]$
435600.od2	435600od1	435600.od	435600od	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.226669717$	$1$		$3$	$884736$	$1.316628$	$16384/225$	$0.97508$	$3.00685$	$[0, 0, 0, 3300, 347875]$	\(y^2=x^3+3300x+347875\)	2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.?	$[(185, 2700)]$

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