Elliptic curves over $\Q$ of conductor 43434

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

Results (18 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
43434.a1	43434c1	43434.a	43434c	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( 2^{11} \cdot 3^{9} \cdot 19 \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$57912$	$2$	$0$	$1.054994293$	$1$		$4$	$97152$	$1.078846$	$382293608764033/133429248$	$0.89394$	$3.76148$	$1$	$[1, -1, 0, -13608, -607424]$	\(y^2+xy=x^3-x^2-13608x-607424\)	57912.2.0.?	$[(-67, 47)]$	$1$
43434.b1	43434b1	43434.b	43434b	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( - 2^{5} \cdot 3^{13} \cdot 19 \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$57912$	$2$	$0$	$1$	$1$		$0$	$42560$	$0.816910$	$260060583887/168871392$	$0.86748$	$3.07855$	$1$	$[1, -1, 0, 1197, 5269]$	\(y^2+xy=x^3-x^2+1197x+5269\)	57912.2.0.?	$[ ]$	$1$
43434.c1	43434f1	43434.c	43434f	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( - 2^{2} \cdot 3^{12} \cdot 19^{5} \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9652$	$2$	$0$	$1$	$1$		$0$	$537600$	$2.152607$	$-1191901054139962890625/916978694868$	$1.09289$	$5.16167$	$1$	$[1, -1, 0, -1987992, -1078376220]$	\(y^2+xy=x^3-x^2-1987992x-1078376220\)	9652.2.0.?	$[ ]$	$1$
43434.d1	43434g2	43434.d	43434g	$2$	$3$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( 2^{11} \cdot 3^{11} \cdot 19^{3} \cdot 127 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$57912$	$16$	$0$	$1$	$81$	$3$	$2$	$219542400$	$5.179710$	$6182190434668776228197462317730516196625/433511626752$	$1.06622$	$9.19695$	$1$	$[1, -1, 0, -3441243454497, 2457091690206296445]$	\(y^2+xy=x^3-x^2-3441243454497x+2457091690206296445\)	3.8.0-3.a.1.2, 57912.16.0.?	$[ ]$	$1$
43434.d2	43434g1	43434.d	43434g	$2$	$3$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( 2^{33} \cdot 3^{21} \cdot 19 \cdot 127^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$57912$	$16$	$0$	$1$	$9$	$3$	$0$	$73180800$	$4.630409$	$11632885438264833922413653941476625/4797041123250424132927488$	$1.04660$	$7.96243$	$1$	$[1, -1, 0, -42484491297, 3370504886182269]$	\(y^2+xy=x^3-x^2-42484491297x+3370504886182269\)	3.8.0-3.a.1.1, 57912.16.0.?	$[ ]$	$1$
43434.e1	43434d1	43434.e	43434d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( - 2^{9} \cdot 3^{6} \cdot 19 \cdot 127^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$16.02128493$	$1$		$0$	$91728$	$1.398935$	$-121011930650390625/156902912$	$1.03721$	$4.30062$	$1$	$[1, -1, 0, -92742, -10847692]$	\(y^2+xy=x^3-x^2-92742x-10847692\)	152.2.0.?	$[(101385553/72, 1017061153723/72)]$	$1$
43434.f1	43434e1	43434.f	43434e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( 2^{13} \cdot 3^{27} \cdot 19^{3} \cdot 127^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$57912$	$2$	$0$	$46.84451656$	$1$		$0$	$480654720$	$5.484642$	$656739389283045209415752111392715736625/19418500938717936535137804288$	$1.06324$	$8.98699$	$1$	$[1, -1, 0, -1629792420147, 800841856848673653]$	\(y^2+xy=x^3-x^2-1629792420147x+800841856848673653\)	57912.2.0.?	$[(-3121661258474320126107/46431509, 35446891609438082464771797017265/46431509)]$	$1$
43434.g1	43434h1	43434.g	43434h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( - 2 \cdot 3^{6} \cdot 19 \cdot 127^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$24240$	$0.341887$	$-57066625/612902$	$0.80281$	$2.56811$	$1$	$[1, -1, 0, -72, -1026]$	\(y^2+xy=x^3-x^2-72x-1026\)	152.2.0.?	$[ ]$	$1$
43434.h1	43434a1	43434.h	43434a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( 2^{7} \cdot 3^{3} \cdot 19 \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$57912$	$2$	$0$	$1$	$1$		$0$	$11200$	$0.018162$	$549353259/308864$	$0.81195$	$2.19310$	$1$	$[1, -1, 0, -51, -11]$	\(y^2+xy=x^3-x^2-51x-11\)	57912.2.0.?	$[ ]$	$1$
43434.i1	43434i1	43434.i	43434i	$3$	$9$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( - 2^{9} \cdot 3^{6} \cdot 19 \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.24.0.3	3B.1.2	$173736$	$144$	$3$	$1$	$9$	$3$	$0$	$51840$	$0.799546$	$-29955633342193/1235456$	$0.87560$	$3.52304$	$1$	$[1, -1, 0, -5823, -169587]$	\(y^2+xy=x^3-x^2-5823x-169587\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 1143.72.0.?, 19304.2.0.?, 57912.16.0.?, $\ldots$	$[ ]$	$1$
43434.i2	43434i2	43434.i	43434i	$3$	$9$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( - 2^{3} \cdot 3^{6} \cdot 19^{3} \cdot 127^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.24.0.1	3Cs.1.1	$173736$	$144$	$3$	$1$	$9$	$3$	$2$	$155520$	$1.348852$	$-226646274673/112398871976$	$0.94689$	$3.69818$	$1$	$[1, -1, 0, -1143, -435483]$	\(y^2+xy=x^3-x^2-1143x-435483\)	3.24.0-3.a.1.1, 1143.72.0.?, 19304.2.0.?, 57912.48.1.?, 173736.144.3.?	$[ ]$	$1$
43434.i3	43434i3	43434.i	43434i	$3$	$9$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( - 2 \cdot 3^{6} \cdot 19^{9} \cdot 127 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	9.24.0.1	3B.1.1	$173736$	$144$	$3$	$1$	$9$	$3$	$2$	$466560$	$1.898159$	$165134819313647/81962675235866$	$1.04364$	$4.31525$	$3$	$[1, -1, 0, 10287, 11751183]$	\(y^2+xy=x^3-x^2+10287x+11751183\)	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 1143.72.0.?, 19304.2.0.?, 57912.16.0.?, $\ldots$	$[ ]$	$1$
43434.j1	43434j1	43434.j	43434j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( - 2^{6} \cdot 3^{8} \cdot 19^{3} \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9652$	$2$	$0$	$1$	$1$		$0$	$101376$	$0.934767$	$-1834216913521/501749568$	$0.85946$	$3.29773$	$1$	$[1, -1, 0, -2295, -50787]$	\(y^2+xy=x^3-x^2-2295x-50787\)	9652.2.0.?	$[ ]$	$1$
43434.k1	43434k1	43434.k	43434k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( 2^{7} \cdot 3^{9} \cdot 19 \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$57912$	$2$	$0$	$0.560452391$	$1$		$4$	$33600$	$0.567469$	$549353259/308864$	$0.81195$	$2.81035$	$1$	$[1, -1, 1, -461, 757]$	\(y^2+xy+y=x^3-x^2-461x+757\)	57912.2.0.?	$[(-5, 56)]$	$1$
43434.l1	43434l1	43434.l	43434l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( - 2^{16} \cdot 3^{10} \cdot 19 \cdot 127 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9652$	$2$	$0$	$0.813606889$	$1$		$4$	$65536$	$1.174730$	$10042744484375/12809207808$	$0.93082$	$3.43808$	$1$	$[1, -1, 1, 4045, -109677]$	\(y^2+xy+y=x^3-x^2+4045x-109677\)	9652.2.0.?	$[(59, 546)]$	$1$
43434.m1	43434m1	43434.m	43434m	$1$	$1$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( 2^{7} \cdot 3^{11} \cdot 19 \cdot 127 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$57912$	$2$	$0$	$1$	$1$		$0$	$210560$	$1.576403$	$2912107693477515625/75053952$	$1.20239$	$4.59847$	$1$	$[1, -1, 1, -267755, -53260869]$	\(y^2+xy+y=x^3-x^2-267755x-53260869\)	57912.2.0.?	$[ ]$	$1$
43434.n1	43434n2	43434.n	43434n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( 2^{2} \cdot 3^{10} \cdot 19 \cdot 127^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9652$	$12$	$0$	$1$	$1$		$0$	$52224$	$0.883355$	$6141556990297/99290124$	$0.86340$	$3.37464$	$1$	$[1, -1, 1, -3434, 77213]$	\(y^2+xy+y=x^3-x^2-3434x+77213\)	2.3.0.a.1, 76.6.0.?, 508.6.0.?, 9652.12.0.?	$[ ]$	$1$
43434.n2	43434n1	43434.n	43434n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19 \cdot 127 \)	\( - 2^{4} \cdot 3^{8} \cdot 19^{2} \cdot 127 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9652$	$12$	$0$	$1$	$1$		$1$	$26112$	$0.536782$	$-389017/6601968$	$0.90994$	$2.78578$	$1$	$[1, -1, 1, -14, 3341]$	\(y^2+xy+y=x^3-x^2-14x+3341\)	2.3.0.a.1, 76.6.0.?, 254.6.0.?, 9652.12.0.?	$[ ]$	$1$

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