Cremona's table of elliptic curves

115434 = 2 · 3² · 11² · 53

Class	r	Atkin-Lehner	Eigenvalues
115434a (2 curves)	1	2+ 3+ 11+ 53+	2+ 3+  2 -2 11+  6  2 -4
Curve Equation t Generators 115434a1 [1,-1,0,-656400036,-6472767348976] 2 [7487354245640940317866999153883600:4155320082494562695802138835972116604:24095511720410586422593245697] 115434a2 [1,-1,0,-656559756,-6469459643608] 2 [30496224305456564701220431330220565549960761002153570627790462579:16924736141859576621186212775845592622322416163633506189006451592118:98141729911283898266929529905842010158516704976514872936097]
115434b (2 curves)	0	2+ 3+ 11+ 53-	2+ 3+ -2  2 11+ -6  2  4
Curve Equation t 115434b1 [1,-1,0,-48823143,-131294442691] 2 115434b2 [1,-1,0,-48835023,-131227342075] 2
115434c (1 curve)	0	2+ 3+ 11- 53+	2+ 3+  1  1 11-  6  0 -6
Curve Equation t 115434c1 [1,-1,0,-14724,-692224] 1
115434d (1 curve)	0	2+ 3+ 11- 53+	2+ 3+ -1 -3 11-  6  6  2
Curve Equation t 115434d1 [1,-1,0,-2745,589529] 1
115434e (2 curves)	0	2+ 3+ 11- 53+	2+ 3+  2 -4 11- -2  0  4
Curve Equation t 115434e1 [1,-1,0,159,-4823] 2 115434e2 [1,-1,0,-3471,-73793] 2
115434f (2 curves)	0	2+ 3+ 11- 53+	2+ 3+  3  1 11- -2  6 -2
Curve Equation t 115434f1 [1,-1,0,852,-3888] 1 115434f2 [1,-1,0,-9708,436112] 1
115434g (1 curve)	2	2+ 3+ 11- 53+	2+ 3+ -3 -5 11- -2 -4  6
Curve Equation t Generators 115434g1 [1,-1,0,159,-467] 1 [14:-73:1]&[46:175:8]
115434h (1 curve)	1	2+ 3+ 11- 53-	2+ 3+  1  3 11- -6  6 -2
Curve Equation t Generators 115434h1 [1,-1,0,-204,11996] 1 [25:136:1]
115434i (1 curve)	1	2+ 3+ 11- 53-	2+ 3+ -1 -1 11- -6  0  6
Curve Equation t Generators 115434i1 [1,-1,0,-1095,-13843] 1 [106:973:1]
115434j (2 curves)	1	2+ 3+ 11- 53-	2+ 3+  2 -4 11-  0 -6 -6
Curve Equation t Generators 115434j1 [1,-1,0,-1963671,1040156189] 2 [443:15811:1] 115434j2 [1,-1,0,127209,3140654237] 2 [421:56962:1]
115434k (1 curve)	1	2+ 3+ 11- 53-	2+ 3+ -2  3 11-  2  2  7
Curve Equation t Generators 115434k1 [1,-1,0,-1293,-32411] 1 [7412:70961:64]
115434l (1 curve)	1	2+ 3+ 11- 53-	2+ 3+  3  5 11-  2 -4 -6
Curve Equation t Generators 115434l1 [1,-1,0,172947,-15398443] 1 [5810674:158485821:12167]
115434m (2 curves)	1	2+ 3+ 11- 53-	2+ 3+ -3 -1 11-  2  6  2
Curve Equation t Generators 115434m1 [1,-1,0,-130521,21411693] 3 [-393:3645:1] 115434m2 [1,-1,0,927624,-132301504] 1 [14068:573169:64]
115434n (1 curve)	0	2+ 3- 11+ 53+	2+ 3- -1  2 11+  3 -2 -2
Curve Equation t 115434n1 [1,-1,0,-1590,-25228] 1
115434o (1 curve)	1	2+ 3- 11- 53+	2+ 3- -1  1 11-  2  6 -2
Curve Equation t Generators 115434o1 [1,-1,0,-3735,-116451] 1 [147:1506:1]
115434p (1 curve)	1	2+ 3- 11- 53+	2+ 3- -1  2 11-  4  3  4
Curve Equation t Generators 115434p1 [1,-1,0,-29970,-1990796] 1 [1897264223:77681330618:1092727]
115434q (4 curves)	1	2+ 3- 11- 53+	2+ 3-  2  0 11- -6 -6 -4
Curve Equation t Generators 115434q1 [1,-1,0,7419,-622891] 2 [89170:2351063:125] 115434q2 [1,-1,0,-79701,-7644763] 4 [3302:41909:8] 115434q3 [1,-1,0,-319281,61593857] 2 [-206:10993:1] 115434q4 [1,-1,0,-1234041,-527328631] 2 [23654:1165733:8]
115434r (1 curve)	1	2+ 3- 11- 53+	2+ 3- -4 -1 11-  4  6  1
Curve Equation t Generators 115434r1 [1,-1,0,154071,4309069] 1 [287:8348:1]
115434s (1 curve)	0	2+ 3- 11- 53-	2+ 3-  0  2 11- -1  3 -1
Curve Equation t 115434s1 [1,-1,0,-567,-276831] 1
115434t (2 curves)	0	2+ 3- 11- 53-	2+ 3-  0 -2 11- -5  3  7
Curve Equation t 115434t1 [1,-1,0,-343602,154922004] 1 115434t2 [1,-1,0,2950623,-3211907715] 1
115434u (2 curves)	0	2+ 3- 11- 53-	2+ 3-  0 -5 11-  4  6 -5
Curve Equation t 115434u1 [1,-1,0,-65907,6531597] 1 115434u2 [1,-1,0,48438,25810164] 1
115434v (1 curve)	0	2+ 3- 11- 53-	2+ 3-  1  0 11-  2 -7 -2
Curve Equation t 115434v1 [1,-1,0,7056,-424814] 1
115434w (1 curve)	0	2+ 3- 11- 53-	2+ 3- -3 -3 11-  2 -6  2
Curve Equation t 115434w1 [1,-1,0,-23589396,48642076368] 1
115434x (1 curve)	2	2+ 3- 11- 53-	2+ 3- -3 -3 11-  6 -6 -2
Curve Equation t Generators 115434x1 [1,-1,0,-170451,43932213] 1 [333:4734:1]&[-234:8541:1]
115434y (1 curve)	0	2+ 3- 11- 53-	2+ 3- -3  5 11-  2 -6  2
Curve Equation t 115434y1 [1,-1,0,-178866,-29071872] 1
115434z (1 curve)	0	2+ 3- 11- 53-	2+ 3-  4  0 11- -1  5  7
Curve Equation t 115434z1 [1,-1,0,-8190,291748] 1
115434ba (2 curves)	0	2- 3+ 11+ 53+	2- 3+  2  2 11+ -6 -2  4
Curve Equation t 115434ba1 [1,-1,1,-5424794,4864565401] 2 115434ba2 [1,-1,1,-5426114,4862080633] 2
115434bb (2 curves)	1	2- 3+ 11+ 53-	2- 3+ -2 -2 11+  6 -2 -4
Curve Equation t Generators 115434bb1 [1,-1,1,-5907600326,174770626022677] 2 [5546855:-2774921:125] 115434bb2 [1,-1,1,-5909037806,174681319415221] 2 [-11090645:93722579:125]
115434bc (1 curve)	1	2- 3+ 11- 53+	2- 3+  1 -1 11- -6  0  6
Curve Equation t Generators 115434bc1 [1,-1,1,-122,553] 1 [7:-1:1]
115434bd (1 curve)	1	2- 3+ 11- 53+	2- 3+ -1  3 11- -6 -6 -2
Curve Equation t Generators 115434bd1 [1,-1,1,-23,-437] 1 [23:92:1]
115434be (1 curve)	1	2- 3+ 11- 53+	2- 3+  2  3 11-  2 -2  7
Curve Equation t Generators 115434be1 [1,-1,1,-11639,886735] 1 [-5:974:1]
115434bf (2 curves)	1	2- 3+ 11- 53+	2- 3+ -2 -4 11-  0  6 -6
Curve Equation t Generators 115434bf1 [1,-1,1,-218186,-38451575] 2 [-271:983:1] 115434bf2 [1,-1,1,14134,-116325239] 2 [1181:38735:1]
115434bg (2 curves)	1	2- 3+ 11- 53+	2- 3+  3 -1 11-  2 -6  2
Curve Equation t Generators 115434bg1 [1,-1,1,103069,4865699] 3 [61:3342:1] 115434bg2 [1,-1,1,-1174691,-576941021] 1 [196342035:47250109042:3375]
115434bh (1 curve)	1	2- 3+ 11- 53+	2- 3+ -3  5 11-  2  4 -6
Curve Equation t Generators 115434bh1 [1,-1,1,19216,563907] 1 [149:2517:1]
115434bi (1 curve)	0	2- 3+ 11- 53-	2- 3+  1 -3 11-  6 -6  2
Curve Equation t 115434bi1 [1,-1,1,-24707,-15892577] 1
115434bj (1 curve)	0	2- 3+ 11- 53-	2- 3+ -1  1 11-  6  0 -6
Curve Equation t 115434bj1 [1,-1,1,-132518,18822565] 1
115434bk (2 curves)	0	2- 3+ 11- 53-	2- 3+ -2 -4 11- -2  0  4
Curve Equation t 115434bk1 [1,-1,1,1429,128791] 2 115434bk2 [1,-1,1,-31241,2023651] 2
115434bl (1 curve)	0	2- 3+ 11- 53-	2- 3+  3 -5 11- -2  4  6
Curve Equation t 115434bl1 [1,-1,1,1429,11179] 1
115434bm (2 curves)	2	2- 3+ 11- 53-	2- 3+ -3  1 11- -2 -6 -2
Curve Equation t Generators 115434bm1 [1,-1,1,-1079,-15793] 1 [39:-2:1]&[45:136:1] 115434bm2 [1,-1,1,7666,97309] 1 [-7:211:1]&[1:323:1]
115434bn (1 curve)	1	2- 3- 11+ 53+	2- 3- -1 -2 11+ -3  2  2
Curve Equation t Generators 115434bn1 [1,-1,1,-192413,34155685] 1 [575:10360:1]
115434bo (1 curve)	2	2- 3- 11- 53+	2- 3- -1 -1 11- -2 -6  2
Curve Equation t Generators 115434bo1 [1,-1,1,-451958,156352133] 1 [1059:28873:1]&[-117:14467:1]
115434bp (1 curve)	0	2- 3- 11- 53+	2- 3-  3  4 11-  2  5 -6
Curve Equation t 115434bp1 [1,-1,1,-13091,1806819] 1
115434bq (1 curve)	0	2- 3- 11- 53+	2- 3-  3 -4 11- -1  4  0
Curve Equation t 115434bq1 [1,-1,1,-2201,-70617] 1
115434br (1 curve)	1	2- 3- 11- 53-	2- 3-  0 -1 11-  0  2  1
Curve Equation t Generators 115434br1 [1,-1,1,2155,-275349] 1 [136628:6244713:64]
115434bs (2 curves)	1	2- 3- 11- 53-	2- 3-  0  4 11- -5 -3  1
Curve Equation t Generators 115434bs1 [1,-1,1,-308210,-83563279] 1 [18363:114709:27] 115434bs2 [1,-1,1,-26792690,-53372567311] 1 [210819:12367741:27]
115434bt (2 curves)	1	2- 3- 11- 53-	2- 3- -3 -2 11-  4  3  4
Curve Equation t Generators 115434bt1 [1,-1,1,1066,32717] 1 [-21:37:1] 115434bt2 [1,-1,1,-9824,-1012723] 1 [8820:26689:64]
115434bu (1 curve)	1	2- 3- 11- 53-	2- 3- -3  3 11- -2  6 -2
Curve Equation t Generators 115434bu1 [1,-1,1,-194954,-36492343] 1 [927:-24521:1]
115434bv (1 curve)	1	2- 3- 11- 53-	2- 3- -3  3 11- -6  6  2
Curve Equation t Generators 115434bv1 [1,-1,1,-1409,-32623] 1 [51:136:1]
115434bw (1 curve)	1	2- 3- 11- 53-	2- 3- -3 -5 11- -2  6 -2
Curve Equation t Generators 115434bw1 [1,-1,1,-21642809,38759590037] 1 [2691:-914:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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