Elliptic curves over $\Q$ of conductor 46090

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
46090.a1	46090c1	46090.a	46090c	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2 \cdot 5^{2} \cdot 11 \cdot 419 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$36872$	$2$	$0$	$0.749494567$	$1$		$10$	$8512$	$-0.234660$	$2305199161/230450$	$0.72569$	$2.00761$	$1$	$[1, 0, 1, -28, 48]$	\(y^2+xy+y=x^3-28x+48\)	36872.2.0.?	$[(4, 0), (2, 0)]$	$1$
46090.b1	46090b1	46090.b	46090b	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( - 2^{5} \cdot 5 \cdot 11^{3} \cdot 419^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$440$	$2$	$0$	$1$	$1$		$0$	$33600$	$0.709193$	$-1302528459961/37387470560$	$0.85893$	$2.96314$	$1$	$[1, 1, 0, -227, -9491]$	\(y^2+xy=x^3+x^2-227x-9491\)	440.2.0.?	$[ ]$	$1$
46090.c1	46090e1	46090.c	46090e	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( - 2^{4} \cdot 5^{2} \cdot 11^{6} \cdot 419 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$838$	$2$	$0$	$0.200427480$	$1$		$6$	$84480$	$1.170406$	$-826035602710442041/296913623600$	$0.89266$	$3.84193$	$1$	$[1, 1, 0, -19547, 1044109]$	\(y^2+xy=x^3+x^2-19547x+1044109\)	838.2.0.?	$[(-22, 1221)]$	$1$
46090.d1	46090a1	46090.d	46090a	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( - 2^{3} \cdot 5^{3} \cdot 11 \cdot 419 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$184360$	$2$	$0$	$1$	$1$		$0$	$10656$	$-0.037023$	$-909853209/4609000$	$0.79481$	$2.13314$	$1$	$[1, -1, 0, -20, -104]$	\(y^2+xy=x^3-x^2-20x-104\)	184360.2.0.?	$[ ]$	$1$
46090.e1	46090d4	46090.e	46090d	$4$	$4$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{6} \cdot 5 \cdot 11^{2} \cdot 419^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.8	2B	$16760$	$48$	$0$	$12.75968341$	$1$		$0$	$433152$	$1.805319$	$1026596670815958818841/1193414857997120$	$0.96624$	$4.50540$	$2$	$[1, -1, 0, -210164, -36994160]$	\(y^2+xy=x^3-x^2-210164x-36994160\)	2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 3352.24.0.?, $\ldots$	$[(-2975279/105, 21084379/105)]$	$1$
46090.e2	46090d3	46090.e	46090d	$4$	$4$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{6} \cdot 5^{4} \cdot 11^{8} \cdot 419 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.7	2B	$16760$	$48$	$0$	$3.189920854$	$1$		$4$	$433152$	$1.805319$	$378077515421828519961/3592654845560000$	$0.93962$	$4.41237$	$1$	$[1, -1, 0, -150644, 22357008]$	\(y^2+xy=x^3-x^2-150644x+22357008\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 1676.24.0.?, 16760.48.0.?	$[(-433, 2719)]$	$1$
46090.e3	46090d2	46090.e	46090d	$4$	$4$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{12} \cdot 5^{2} \cdot 11^{4} \cdot 419^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$8380$	$48$	$0$	$6.379841709$	$1$		$2$	$216576$	$1.458744$	$502613472723516441/263207792742400$	$0.95732$	$3.79561$	$1$	$[1, -1, 0, -16564, -248880]$	\(y^2+xy=x^3-x^2-16564x-248880\)	2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 1676.24.0.?, 8380.48.0.?	$[(-5711/7, -81899/7)]$	$1$
46090.e4	46090d1	46090.e	46090d	$4$	$4$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( - 2^{24} \cdot 5 \cdot 11^{2} \cdot 419 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.6	2B	$16760$	$48$	$0$	$12.75968341$	$1$		$1$	$108288$	$1.112171$	$6640325636015079/4252940369920$	$0.90606$	$3.39269$	$2$	$[1, -1, 0, 3916, -31792]$	\(y^2+xy=x^3-x^2+3916x-31792\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$	$[(179537/133, 210286007/133)]$	$1$
46090.f1	46090k1	46090.f	46090k	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( - 2^{26} \cdot 5^{2} \cdot 11^{4} \cdot 419 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$838$	$2$	$0$	$0.072690654$	$1$		$14$	$718848$	$1.751451$	$-2775222881255889/10292115695206400$	$0.98965$	$4.12773$	$1$	$[1, -1, 1, -2928, 4882131]$	\(y^2+xy+y=x^3-x^2-2928x+4882131\)	838.2.0.?	$[(925, 27697)]$	$1$
46090.g1	46090p2	46090.g	46090p	$2$	$7$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2 \cdot 5 \cdot 11 \cdot 419^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$1290520$	$96$	$2$	$1$	$49$	$7$	$0$	$9938768$	$3.147079$	$90984613355465878035683930961/249396782289047639290$	$1.00595$	$6.20956$	$1$	$[1, -1, 1, -93701832, -349092134751]$	\(y^2+xy+y=x^3-x^2-93701832x-349092134751\)	7.48.0-7.a.2.2, 184360.2.0.?, 1290520.96.2.?	$[ ]$	$1$
46090.g2	46090p1	46090.g	46090p	$2$	$7$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{7} \cdot 5^{7} \cdot 11^{7} \cdot 419 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$1290520$	$96$	$2$	$1$	$1$		$6$	$1419824$	$2.174126$	$99964020929586731506161/81651246490000000$	$0.96294$	$4.93177$	$1$	$[1, -1, 1, -966882, 365921889]$	\(y^2+xy+y=x^3-x^2-966882x+365921889\)	7.48.0-7.a.1.2, 184360.2.0.?, 1290520.96.2.?	$[ ]$	$1$
46090.h1	46090g2	46090.h	46090g	$2$	$3$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{11} \cdot 5^{6} \cdot 11^{9} \cdot 419^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$110616$	$16$	$0$	$1$	$1$		$0$	$13514688$	$3.476040$	$42144673353901398176116477249/5550424680603960608000000$	$0.98915$	$6.13790$	$1$	$[1, 0, 0, -72500276, 208820340880]$	\(y^2+xy=x^3-72500276x+208820340880\)	3.8.0-3.a.1.1, 36872.2.0.?, 110616.16.0.?	$[ ]$	$1$
46090.h2	46090g1	46090.h	46090g	$2$	$3$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{33} \cdot 5^{2} \cdot 11^{3} \cdot 419 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$110616$	$16$	$0$	$1$	$1$		$2$	$4504896$	$2.926731$	$37985811754890582644789153089/119762800816947200$	$0.98696$	$6.12822$	$1$	$[1, 0, 0, -70032436, 225572278416]$	\(y^2+xy=x^3-70032436x+225572278416\)	3.8.0-3.a.1.2, 36872.2.0.?, 110616.16.0.?	$[ ]$	$1$
46090.i1	46090s1	46090.i	46090s	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{7} \cdot 5^{2} \cdot 11^{3} \cdot 419 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$36872$	$2$	$0$	$0.117099952$	$1$		$10$	$38976$	$0.597429$	$195930594145441/1784604800$	$0.97455$	$3.06460$	$1$	$[1, 0, 0, -1210, 15972]$	\(y^2+xy=x^3-1210x+15972\)	36872.2.0.?	$[(44, 198)]$	$1$
46090.j1	46090j1	46090.j	46090j	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{31} \cdot 5 \cdot 11 \cdot 419 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$184360$	$2$	$0$	$0.397659539$	$1$		$6$	$134416$	$1.364677$	$504603585132854689/49488760668160$	$0.89171$	$3.79598$	$1$	$[1, 1, 1, -16586, 742359]$	\(y^2+xy+y=x^3+x^2-16586x+742359\)	184360.2.0.?	$[(-119, 1083)]$	$1$
46090.k1	46090l1	46090.k	46090l	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{13} \cdot 5^{11} \cdot 11^{3} \cdot 419 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$184360$	$2$	$0$	$0.267358938$	$1$		$8$	$624624$	$2.150898$	$24380929813290549710401/223075600000000000$	$0.94090$	$4.80037$	$1$	$[1, 1, 1, -604100, -179539515]$	\(y^2+xy+y=x^3+x^2-604100x-179539515\)	184360.2.0.?	$[(-467, 1233)]$	$1$
46090.l1	46090q1	46090.l	46090q	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( - 2^{14} \cdot 5^{4} \cdot 11^{2} \cdot 419 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$838$	$2$	$0$	$0.096500532$	$1$		$10$	$64512$	$0.929380$	$64379949413039/519157760000$	$0.86915$	$3.19935$	$1$	$[1, 1, 1, 835, 33747]$	\(y^2+xy+y=x^3+x^2+835x+33747\)	838.2.0.?	$[(87, 836)]$	$1$
46090.m1	46090r1	46090.m	46090r	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2 \cdot 5^{7} \cdot 11^{5} \cdot 419^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$184360$	$2$	$0$	$0.503552270$	$1$		$0$	$5303760$	$3.188820$	$992242729607885119605705413041/1851081415938906250$	$0.99531$	$6.43206$	$1$	$[1, 1, 1, -207793235, 1152822924087]$	\(y^2+xy+y=x^3+x^2-207793235x+1152822924087\)	184360.2.0.?	$[(133117/4, -243221/4)]$	$1$
46090.n1	46090o1	46090.n	46090o	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( - 2^{16} \cdot 5^{2} \cdot 11^{6} \cdot 419^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$838$	$2$	$0$	$1$	$1$		$0$	$70791168$	$4.622467$	$-16663128733355465781481076750866321/6580732098057570116451334553600$	$1.02001$	$7.38649$	$1$	$[1, 1, 1, -5321216705, 193788826336575]$	\(y^2+xy+y=x^3+x^2-5321216705x+193788826336575\)	838.2.0.?	$[ ]$	$1$
46090.o1	46090h2	46090.o	46090h	$2$	$2$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{2} \cdot 5^{5} \cdot 11^{2} \cdot 419^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$92180$	$12$	$0$	$10.95282410$	$1$		$0$	$136320$	$1.363558$	$32909792509566038529/265536012500$	$0.92764$	$4.18503$	$1$	$[1, -1, 1, -66763, -6622969]$	\(y^2+xy+y=x^3-x^2-66763x-6622969\)	2.3.0.a.1, 10.6.0.a.1, 18436.6.0.?, 92180.12.0.?	$[(-708857/69, 22073884/69)]$	$1$
46090.o2	46090h1	46090.o	46090h	$2$	$2$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{4} \cdot 5^{10} \cdot 11 \cdot 419 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$92180$	$12$	$0$	$5.476412050$	$1$		$1$	$68160$	$1.016985$	$8565923637038529/720156250000$	$0.90643$	$3.41641$	$1$	$[1, -1, 1, -4263, -97969]$	\(y^2+xy+y=x^3-x^2-4263x-97969\)	2.3.0.a.1, 20.6.0.c.1, 9218.6.0.?, 92180.12.0.?	$[(-383/3, 2470/3)]$	$1$
46090.p1	46090i1	46090.p	46090i	$2$	$2$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{2} \cdot 5^{2} \cdot 11 \cdot 419 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$184360$	$12$	$0$	$5.211078669$	$1$		$1$	$6048$	$-0.068075$	$88061730849/460900$	$0.80121$	$2.34685$	$1$	$[1, -1, 1, -93, -319]$	\(y^2+xy+y=x^3-x^2-93x-319\)	2.3.0.a.1, 40.6.0.d.1, 9218.6.0.?, 184360.12.0.?	$[(325/4, 4223/4)]$	$1$
46090.p2	46090i2	46090.p	46090i	$2$	$2$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( - 2 \cdot 5 \cdot 11^{2} \cdot 419^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$184360$	$12$	$0$	$10.42215733$	$1$		$0$	$12096$	$0.278498$	$-8602523649/212428810$	$0.85569$	$2.48195$	$1$	$[1, -1, 1, -43, -699]$	\(y^2+xy+y=x^3-x^2-43x-699\)	2.3.0.a.1, 40.6.0.a.1, 18436.6.0.?, 184360.12.0.?	$[(25813/36, 3143591/36)]$	$1$
46090.q1	46090n1	46090.q	46090n	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{9} \cdot 5^{6} \cdot 11 \cdot 419 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$36872$	$2$	$0$	$0.271796842$	$1$		$22$	$50112$	$0.735526$	$136121964359121/36872000000$	$0.85404$	$3.03069$	$1$	$[1, -1, 1, -1072, -9581]$	\(y^2+xy+y=x^3-x^2-1072x-9581\)	36872.2.0.?	$[(-23, 61), (37, 1)]$	$1$
46090.r1	46090f1	46090.r	46090f	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2^{5} \cdot 5 \cdot 11 \cdot 419 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$184360$	$2$	$0$	$1$	$1$		$0$	$14160$	$0.005490$	$310151254609/737440$	$0.78088$	$2.46410$	$1$	$[1, 0, 0, -141, -655]$	\(y^2+xy=x^3-141x-655\)	184360.2.0.?	$[ ]$	$1$
46090.s1	46090m1	46090.s	46090m	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 419 \)	\( 2 \cdot 5^{5} \cdot 11^{3} \cdot 419 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$184360$	$2$	$0$	$1$	$1$		$0$	$27120$	$0.548615$	$18401834959201/3485556250$	$0.82346$	$2.84434$	$1$	$[1, 0, 0, -550, -4118]$	\(y^2+xy=x^3-550x-4118\)	184360.2.0.?	$[ ]$	$1$

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