Cremona's table of elliptic curves

4830 = 2 · 3 · 5 · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
4830a (4 curves)	1	2+ 3+ 5+ 7+ 23+	2+ 3+ 5+ 7+  0 -2  6 -4
Curve Equation t Generators 4830a1 [1,1,0,-11503,-400283] 2 [-57:301:1] 4830a2 [1,1,0,-53823,4415733] 4 [-141:3108:1] 4830a3 [1,1,0,-842723,297413193] 2 [537:24:1] 4830a4 [1,1,0,57957,20489697] 2 [-49:4212:1]
4830b (4 curves)	0	2+ 3+ 5+ 7+ 23-	2+ 3+ 5+ 7+  4  6  2  0
Curve Equation t 4830b1 [1,1,0,-56723,-5223507] 2 4830b2 [1,1,0,-57043,-5162003] 4 4830b3 [1,1,0,-125643,9559557] 2 4830b4 [1,1,0,6437,-15940907] 2
4830c (2 curves)	0	2+ 3+ 5+ 7- 23+	2+ 3+ 5+ 7- -4 -2  0 -4
Curve Equation t 4830c1 [1,1,0,-3774913,-2823198923] 2 4830c2 [1,1,0,-3102633,-3859720227] 2
4830d (2 curves)	1	2+ 3+ 5+ 7- 23-	2+ 3+ 5+ 7-  0  0  4 -2
Curve Equation t Generators 4830d1 [1,1,0,-28,-368] 2 [16:52:1] 4830d2 [1,1,0,-948,-11592] 2 [-19:13:1]
4830e (2 curves)	0	2+ 3+ 5- 7+ 23+	2+ 3+ 5- 7+  2  4  6 -4
Curve Equation t 4830e1 [1,1,0,-119387,15827229] 2 4830e2 [1,1,0,-112987,17607709] 2
4830f (2 curves)	1	2+ 3+ 5- 7- 23+	2+ 3+ 5- 7-  2 -2  0 -2
Curve Equation t Generators 4830f1 [1,1,0,-5497,-158171] 2 [-45:47:1] 4830f2 [1,1,0,-9177,75141] 2 [-93:414:1]
4830g (2 curves)	1	2+ 3+ 5- 7- 23+	2+ 3+ 5- 7- -2 -6  0  6
Curve Equation t Generators 4830g1 [1,1,0,-507,-4599] 2 [-13:9:1] 4830g2 [1,1,0,-737,-321] 2 [-17:96:1]
4830h (2 curves)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+  0 -2  0  0
Curve Equation t 4830h1 [1,0,1,-287409,37259332] 2 4830h2 [1,0,1,859471,260671556] 2
4830i (2 curves)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+  6 -2  0  6
Curve Equation t 4830i1 [1,0,1,-64,-178] 2 4830i2 [1,0,1,-984,-11954] 2
4830j (4 curves)	1	2+ 3- 5+ 7+ 23-	2+ 3- 5+ 7+  4  2 -6 -4
Curve Equation t Generators 4830j1 [1,0,1,-354,-2588] 2 [25:53:1] 4830j2 [1,0,1,-374,-2284] 4 [-12:28:1] 4830j3 [1,0,1,-1844,28292] 2 [-22:252:1] 4830j4 [1,0,1,776,-13324] 2 [34:212:1]
4830k (2 curves)	1	2+ 3- 5+ 7- 23+	2+ 3- 5+ 7- -2  4 -6 -4
Curve Equation t Generators 4830k1 [1,0,1,-24,22] 2 [-4:9:1] 4830k2 [1,0,1,76,182] 2 [3:19:1]
4830l (4 curves)	0	2+ 3- 5+ 7- 23-	2+ 3- 5+ 7-  0 -4  0  2
Curve Equation t 4830l1 [1,0,1,-127124,18674066] 6 4830l2 [1,0,1,-2073844,1149329042] 6 4830l3 [1,0,1,753661,753662] 2 4830l4 [1,0,1,-3014659,5275646] 2
4830m (2 curves)	1	2+ 3- 5- 7+ 23+	2+ 3- 5- 7+ -4  4 -4  2
Curve Equation t Generators 4830m1 [1,0,1,17,-82] 2 [4:5:1] 4830m2 [1,0,1,-213,-1094] 2 [-10:12:1]
4830n (4 curves)	0	2+ 3- 5- 7+ 23-	2+ 3- 5- 7+  4  6  2  0
Curve Equation t 4830n1 [1,0,1,-3409158,-2112699944] 2 4830n2 [1,0,1,-52581638,-146758467112] 4 4830n3 [1,0,1,-841301318,-9392446043944] 2 4830n4 [1,0,1,-50621638,-158203299112] 4
4830o (4 curves)	0	2+ 3- 5- 7- 23+	2+ 3- 5- 7-  0  2  0 -4
Curve Equation t 4830o1 [1,0,1,-1613,24788] 6 4830o2 [1,0,1,-1543,27056] 6 4830o3 [1,0,1,-2888,-19882] 2 4830o4 [1,0,1,10832,-151594] 2
4830p (2 curves)	1	2+ 3- 5- 7- 23-	2+ 3- 5- 7-  2 -2  0 -6
Curve Equation t Generators 4830p1 [1,0,1,-193,-1024] 2 [-8:8:1] 4830p2 [1,0,1,-423,1828] 2 [-16:75:1]
4830q (4 curves)	1	2+ 3- 5- 7- 23-	2+ 3- 5- 7- -4 -2 -6  0
Curve Equation t Generators 4830q1 [1,0,1,-220203,39754006] 2 [280:122:1] 4830q2 [1,0,1,-221483,39268118] 4 [114:3880:1] 4830q3 [1,0,1,-491963,-75523594] 2 [800:6162:1] 4830q4 [1,0,1,28517,122968118] 4 [-221:10400:1]
4830r (2 curves)	1	2- 3+ 5+ 7+ 23-	2- 3+ 5+ 7+ -2  0  2  0
Curve Equation t Generators 4830r1 [1,1,1,-1078221,430483779] 2 [439:6260:1] 4830r2 [1,1,1,-1076621,431827139] 2 [441:6340:1]
4830s (4 curves)	1	2- 3+ 5+ 7- 23+	2- 3+ 5+ 7-  0  2 -2 -4
Curve Equation t Generators 4830s1 [1,1,1,-1096,-10807] 2 [-19:69:1] 4830s2 [1,1,1,-6216,177609] 4 [1:413:1] 4830s3 [1,1,1,-98216,11806409] 2 [39:2815:1] 4830s4 [1,1,1,3864,709833] 2 [57:1029:1]
4830t (4 curves)	1	2- 3+ 5+ 7- 23+	2- 3+ 5+ 7- -4 -2  6 -4
Curve Equation t Generators 4830t1 [1,1,1,29,-127] 2 [7:18:1] 4830t2 [1,1,1,-291,-1791] 4 [-11:20:1] 4830t3 [1,1,1,-4491,-117711] 2 [-39:20:1] 4830t4 [1,1,1,-1211,14033] 2 [-19:184:1]
4830u (2 curves)	0	2- 3+ 5+ 7- 23-	2- 3+ 5+ 7-  0  6  4  4
Curve Equation t 4830u1 [1,1,1,-112286,14435483] 2 4830u2 [1,1,1,-112006,14511419] 2
4830v (2 curves)	1	2- 3+ 5- 7+ 23+	2- 3+ 5- 7+ -2 -6  4 -2
Curve Equation t Generators 4830v1 [1,1,1,-300,717] 2 [-3:41:1] 4830v2 [1,1,1,-3980,94925] 2 [-7:353:1]
4830w (4 curves)	0	2- 3+ 5- 7+ 23-	2- 3+ 5- 7+  0  2  2 -4
Curve Equation t 4830w1 [1,1,1,-690,7215] 4 4830w2 [1,1,1,-11270,455807] 4 4830w3 [1,1,1,-11500,435935] 2 4830w4 [1,1,1,-180320,29397167] 2
4830x (2 curves)	0	2- 3+ 5- 7+ 23-	2- 3+ 5- 7+  0  2 -4  8
Curve Equation t 4830x1 [1,1,1,-5165,-144925] 2 4830x2 [1,1,1,-4045,-208093] 2
4830y (4 curves)	1	2- 3+ 5- 7- 23-	2- 3+ 5- 7-  0 -6 -6  4
Curve Equation t Generators 4830y1 [1,1,1,288380,108455045] 4 [-227:5713:1] 4830y2 [1,1,1,-2420100,1209181317] 4 [-1563:35081:1] 4830y3 [1,1,1,-11255780,-13408567675] 2 [-2207:27353:1] 4830y4 [1,1,1,-36920100,86327581317] 2 [3537:681:1]
4830z (2 curves)	1	2- 3+ 5- 7- 23-	2- 3+ 5- 7- -6  0  6 -8
Curve Equation t Generators 4830z1 [1,1,1,-245,1307] 2 [-3:46:1] 4830z2 [1,1,1,155,5627] 2 [5:78:1]
4830ba (4 curves)	1	2- 3- 5+ 7+ 23+	2- 3- 5+ 7+  0 -2 -6  0
Curve Equation t Generators 4830ba1 [1,0,0,-1141,44321] 4 [-34:227:1] 4830ba2 [1,0,0,-27061,1708385] 4 [-52:1751:1] 4830ba3 [1,0,0,-36061,471785] 2 [-64:1619:1] 4830ba4 [1,0,0,-432781,109548761] 2 [380:-181:1]
4830bb (2 curves)	0	2- 3- 5+ 7+ 23-	2- 3- 5+ 7+  4  6 -4  0
Curve Equation t 4830bb1 [1,0,0,-161,-759] 2 4830bb2 [1,0,0,119,-3055] 2
4830bc (8 curves)	0	2- 3- 5+ 7- 23+	2- 3- 5+ 7-  0  2  6 -4
Curve Equation t 4830bc1 [1,0,0,-3082736,-2078064384] 6 4830bc2 [1,0,0,-4393456,-140558080] 12 4830bc3 [1,0,0,-249518576,-1517079678720] 2 4830bc4 [1,0,0,-47316976,124844147456] 6 4830bc5 [1,0,0,17558544,-1119617280] 6 4830bc6 [1,0,0,-249518896,-1517075593024] 4 4830bc7 [1,0,0,-253899016,-1461052982200] 2 4830bc8 [1,0,0,-245143896,-1572836718024] 2
4830bd (4 curves)	0	2- 3- 5+ 7- 23+	2- 3- 5+ 7-  0 -6 -2  4
Curve Equation t 4830bd1 [1,0,0,-756,-8064] 2 4830bd2 [1,0,0,-776,-7620] 4 4830bd3 [1,0,0,-2846,49926] 2 4830bd4 [1,0,0,974,-36670] 2
4830be (4 curves)	0	2- 3- 5+ 7- 23+	2- 3- 5+ 7-  6  2  0  2
Curve Equation t 4830be1 [1,0,0,-1026,12420] 6 4830be2 [1,0,0,-1946,-13524] 6 4830be3 [1,0,0,-8166,-278304] 2 4830be4 [1,0,0,-129836,-18017790] 2
4830bf (2 curves)	1	2- 3- 5+ 7- 23-	2- 3- 5+ 7- -6 -4  2  0
Curve Equation t Generators 4830bf1 [1,0,0,259,34545] 2 [-14:175:1] 4830bf2 [1,0,0,-14461,649841] 2 [-82:1175:1]
4830bg (2 curves)	0	2- 3- 5- 7+ 23+	2- 3- 5- 7+ -2  0  2  4
Curve Equation t 4830bg1 [1,0,0,0,60] 2 4830bg2 [1,0,0,-230,1302] 2
4830bh (6 curves)	0	2- 3- 5- 7+ 23+	2- 3- 5- 7+  4 -2  2 -4
Curve Equation t 4830bh1 [1,0,0,-760,8000] 4 4830bh2 [1,0,0,-840,6192] 8 4830bh3 [1,0,0,-5340,-145908] 4 4830bh4 [1,0,0,2380,42900] 4 4830bh5 [1,0,0,-84690,-9493338] 2 4830bh6 [1,0,0,2010,-514878] 2
4830bi (6 curves)	0	2- 3- 5- 7+ 23+	2- 3- 5- 7+  4  6  2  4
Curve Equation t 4830bi1 [1,0,0,-75340,-876400] 8 4830bi2 [1,0,0,-875340,-314636400] 8 4830bi3 [1,0,0,-13997340,-20157724800] 4 4830bi4 [1,0,0,-553340,-548988000] 4 4830bi5 [1,0,0,-223957440,-1290038401620] 2 4830bi6 [1,0,0,-13989240,-20182217580] 2
4830bj (2 curves)	1	2- 3- 5- 7+ 23-	2- 3- 5- 7+ -2 -6 -4 -6
Curve Equation t Generators 4830bj1 [1,0,0,-8355,-135423] 2 [-66:393:1] 4830bj2 [1,0,0,-67235,6612225] 2 [-230:3265:1]
4830bk (4 curves)	1	2- 3- 5- 7- 23+	2- 3- 5- 7- -6 -4 -6 -4
Curve Equation t Generators 4830bk1 [1,0,0,-480,230400] 6 [-60:240:1] 4830bk2 [1,0,0,-59360,5494272] 6 [-266:1708:1] 4830bk3 [1,0,0,4320,-6219840] 2 [212:1952:1] 4830bk4 [1,0,0,-482360,-126235128] 2 [-438:1248:1]
4830bl (2 curves)	0	2- 3- 5- 7- 23-	2- 3- 5- 7-  4  2  4 -4
Curve Equation t 4830bl1 [1,0,0,-60,-180] 2 4830bl2 [1,0,0,10,-558] 2

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