Elliptic curves over $\Q$ of conductor 285190

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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
285190.a1	285190a2	285190.a	285190a	$2$	$3$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{8} \cdot 5^{3} \cdot 19^{2} \cdot 79^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$45030$	$16$	$0$	$1$	$1$		$0$	$1575936$	$1.605551$	$-1539172115248992049/15777248000$	$0.93830$	$3.80280$	$[1, 1, 0, -171273, 27211333]$	\(y^2+xy=x^3+x^2-171273x+27211333\)	3.4.0.a.1, 57.8.0-3.a.1.2, 790.2.0.?, 2370.8.0.?, 45030.16.0.?	$[ ]$
285190.a2	285190a1	285190.a	285190a	$2$	$3$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{24} \cdot 5 \cdot 19^{2} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$45030$	$16$	$0$	$1$	$1$		$0$	$525312$	$1.056246$	$-338200477489/6627000320$	$0.89494$	$2.86501$	$[1, 1, 0, -1033, 75077]$	\(y^2+xy=x^3+x^2-1033x+75077\)	3.4.0.a.1, 57.8.0-3.a.1.1, 790.2.0.?, 2370.8.0.?, 45030.16.0.?	$[ ]$
285190.b1	285190b1	285190.b	285190b	$1$	$1$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{11} \cdot 5 \cdot 19^{2} \cdot 79^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$5.611270778$	$1$		$0$	$239184$	$0.675619$	$-22565319201/63907840$	$0.85533$	$2.50798$	$[1, -1, 0, -419, -7915]$	\(y^2+xy=x^3-x^2-419x-7915\)	40.2.0.a.1	$[(1915/6, 68515/6)]$
285190.c1	285190c2	285190.c	285190c	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( 2^{10} \cdot 5^{6} \cdot 19^{3} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$30020$	$12$	$0$	$1.600895973$	$1$		$2$	$1171200$	$1.694143$	$20127865382582859/99856000000$	$0.97760$	$3.69195$	$[1, -1, 0, -107674, -13513932]$	\(y^2+xy=x^3-x^2-107674x-13513932\)	2.3.0.a.1, 76.6.0.?, 1580.6.0.?, 30020.12.0.?	$[(-188, 334)]$
285190.c2	285190c1	285190.c	285190c	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( 2^{20} \cdot 5^{3} \cdot 19^{3} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$30020$	$12$	$0$	$3.201791947$	$1$		$3$	$585600$	$1.347570$	$18106501691979/10354688000$	$1.00972$	$3.13358$	$[1, -1, 0, -10394, 46900]$	\(y^2+xy=x^3-x^2-10394x+46900\)	2.3.0.a.1, 76.6.0.?, 1580.6.0.?, 15010.6.0.?, 30020.12.0.?	$[(271, 3997)]$
285190.d1	285190d2	285190.d	285190d	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( 2^{5} \cdot 5 \cdot 19^{7} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$60040$	$12$	$0$	$1$	$4$	$2$	$0$	$5990400$	$2.356770$	$471203364675787281/18972640$	$1.00566$	$4.64622$	$[1, -1, 0, -5852419, 5450895093]$	\(y^2+xy=x^3-x^2-5852419x+5450895093\)	2.3.0.a.1, 316.6.0.?, 760.6.0.?, 60040.12.0.?	$[ ]$
285190.d2	285190d1	285190.d	285190d	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{10} \cdot 5^{2} \cdot 19^{8} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$60040$	$12$	$0$	$1$	$1$		$1$	$2995200$	$2.010197$	$-114515128382481/730086400$	$0.96129$	$3.98453$	$[1, -1, 0, -365219, 85510933]$	\(y^2+xy=x^3-x^2-365219x+85510933\)	2.3.0.a.1, 158.6.0.?, 760.6.0.?, 60040.12.0.?	$[ ]$
285190.e1	285190e1	285190.e	285190e	$1$	$1$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( 2 \cdot 5^{2} \cdot 19^{2} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$632$	$2$	$0$	$1$	$1$		$0$	$68544$	$0.025221$	$740206161/3950$	$0.76618$	$2.09470$	$[1, -1, 0, -134, -562]$	\(y^2+xy=x^3-x^2-134x-562\)	632.2.0.?	$[ ]$
285190.f1	285190f1	285190.f	285190f	$1$	$1$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{4} \cdot 5 \cdot 19^{4} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$790$	$2$	$0$	$1$	$1$		$0$	$164736$	$0.440594$	$-42471289/6320$	$0.82538$	$2.35420$	$[1, 0, 1, -369, -3084]$	\(y^2+xy+y=x^3-369x-3084\)	790.2.0.?	$[ ]$
285190.g1	285190g2	285190.g	285190g	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( 2^{4} \cdot 5 \cdot 19^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$0$	$1769472$	$1.627935$	$8490912541201/499280$	$0.91378$	$3.77653$	$[1, 1, 0, -153432, -23195344]$	\(y^2+xy=x^3+x^2-153432x-23195344\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
285190.g2	285190g1	285190.g	285190g	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{8} \cdot 5^{2} \cdot 19^{6} \cdot 79 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.281363$	$-1732323601/505600$	$0.84355$	$3.13255$	$[1, 1, 0, -9032, -409024]$	\(y^2+xy=x^3+x^2-9032x-409024\)	2.3.0.a.1, 20.6.0.c.1, 158.6.0.?, 1580.12.0.?	$[ ]$
285190.h1	285190h1	285190.h	285190h	$1$	$1$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{5} \cdot 5^{2} \cdot 19^{13} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$38304000$	$3.238583$	$-96410175101019798409/4462922818479200$	$0.93875$	$5.07596$	$[1, 1, 1, -34485796, -81020619771]$	\(y^2+xy+y=x^3+x^2-34485796x-81020619771\)	152.2.0.?	$[ ]$
285190.i1	285190i1	285190.i	285190i	$1$	$1$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{4} \cdot 5 \cdot 19^{10} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$790$	$2$	$0$	$6.251930990$	$1$		$2$	$3129984$	$1.912813$	$-42471289/6320$	$0.82538$	$3.76068$	$[1, 1, 1, -133036, 20885373]$	\(y^2+xy+y=x^3+x^2-133036x+20885373\)	790.2.0.?	$[(819, 21087)]$
285190.j1	285190j2	285190.j	285190j	$2$	$3$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{3} \cdot 5^{2} \cdot 19^{7} \cdot 79^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$456$	$16$	$0$	$1$	$1$		$0$	$25816320$	$3.031807$	$-374183455611241801/923732330979800$	$0.93062$	$4.76012$	$[1, 1, 1, -5419520, 11141289657]$	\(y^2+xy+y=x^3+x^2-5419520x+11141289657\)	3.4.0.a.1, 24.8.0-3.a.1.5, 57.8.0-3.a.1.2, 152.2.0.?, 456.16.0.?	$[ ]$
285190.j2	285190j1	285190.j	285190j	$2$	$3$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2 \cdot 5^{6} \cdot 19^{9} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$456$	$16$	$0$	$1$	$1$		$0$	$8605440$	$2.482502$	$463666851952199/1337719343750$	$0.89452$	$4.20507$	$[1, 1, 1, 582105, -341019293]$	\(y^2+xy+y=x^3+x^2+582105x-341019293\)	3.4.0.a.1, 24.8.0-3.a.1.6, 57.8.0-3.a.1.1, 152.2.0.?, 456.16.0.?	$[ ]$
285190.k1	285190k1	285190.k	285190k	$1$	$1$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{11} \cdot 5 \cdot 19^{8} \cdot 79^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$4544496$	$2.147839$	$-22565319201/63907840$	$0.85533$	$3.91445$	$[1, -1, 1, -151327, 55045511]$	\(y^2+xy+y=x^3-x^2-151327x+55045511\)	40.2.0.a.1	$[ ]$
285190.l1	285190l2	285190.l	285190l	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( 2^{10} \cdot 5^{6} \cdot 19^{9} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$30020$	$12$	$0$	$1.906478143$	$1$		$4$	$22252800$	$3.166363$	$20127865382582859/99856000000$	$0.97760$	$5.09842$	$[1, -1, 1, -38870382, 92886411389]$	\(y^2+xy+y=x^3-x^2-38870382x+92886411389\)	2.3.0.a.1, 76.6.0.?, 1580.6.0.?, 30020.12.0.?	$[(3297, 22051)]$
285190.l2	285190l1	285190.l	285190l	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( 2^{20} \cdot 5^{3} \cdot 19^{9} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$30020$	$12$	$0$	$3.812956286$	$1$		$3$	$11126400$	$2.819790$	$18106501691979/10354688000$	$1.00972$	$4.54006$	$[1, -1, 1, -3752302, -302925699]$	\(y^2+xy+y=x^3-x^2-3752302x-302925699\)	2.3.0.a.1, 76.6.0.?, 1580.6.0.?, 15010.6.0.?, 30020.12.0.?	$[(-1319, 49139)]$
285190.m1	285190m1	285190.m	285190m	$1$	$1$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( 2 \cdot 5^{2} \cdot 19^{8} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$632$	$2$	$0$	$3.794490998$	$1$		$0$	$1302336$	$1.497440$	$740206161/3950$	$0.76618$	$3.50118$	$[1, -1, 1, -48442, 4096859]$	\(y^2+xy+y=x^3-x^2-48442x+4096859\)	632.2.0.?	$[(-2523/4, 183709/4)]$
285190.n1	285190n2	285190.n	285190n	$2$	$3$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{8} \cdot 5^{3} \cdot 19^{8} \cdot 79^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$2370$	$16$	$0$	$5.731711168$	$1$		$0$	$29942784$	$3.077770$	$-1539172115248992049/15777248000$	$0.93830$	$5.20928$	$[1, 0, 0, -61829741, -187137170479]$	\(y^2+xy=x^3-61829741x-187137170479\)	3.8.0-3.a.1.1, 790.2.0.?, 2370.16.0.?	$[(1015402/3, 1019114869/3)]$
285190.n2	285190n1	285190.n	285190n	$2$	$3$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{24} \cdot 5 \cdot 19^{8} \cdot 79 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$2370$	$16$	$0$	$17.19513350$	$1$		$2$	$9980928$	$2.528465$	$-338200477489/6627000320$	$0.89494$	$4.27149$	$[1, 0, 0, -373101, -517937455]$	\(y^2+xy=x^3-373101x-517937455\)	3.8.0-3.a.1.2, 790.2.0.?, 2370.16.0.?	$[(1389412114/333, 51490861613515/333)]$
285190.o1	285190o2	285190.o	285190o	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( 2^{2} \cdot 5^{3} \cdot 19^{10} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$9.165622294$	$1$		$0$	$7464960$	$2.397175$	$984510668501641/406666680500$	$0.88842$	$4.15494$	$[1, 1, 1, -748180, -133574975]$	\(y^2+xy+y=x^3+x^2-748180x-133574975\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(-261167/19, 39862037/19)]$
285190.o2	285190o1	285190.o	285190o	$2$	$2$	\( 2 \cdot 5 \cdot 19^{2} \cdot 79 \)	\( - 2^{4} \cdot 5^{6} \cdot 19^{8} \cdot 79 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$4.582811147$	$1$		$1$	$3732480$	$2.050602$	$8639101458359/7129750000$	$0.93383$	$3.77791$	$[1, 1, 1, 154320, -15166975]$	\(y^2+xy+y=x^3+x^2+154320x-15166975\)	2.3.0.a.1, 20.6.0.c.1, 158.6.0.?, 1580.12.0.?	$[(30523/9, 7029937/9)]$

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