Cremona's table of elliptic curves

5040 = 2⁴ · 3² · 5 · 7

Class	r	Atkin-Lehner	Eigenvalues
5040a (2 curves)	1	2+ 3+ 5+ 7+	2+ 3+ 5+ 7+ -2 -2 -2  8
Curve Equation t Generators 5040a1 [0,0,0,-318,-2133] 2 [91:850:1] 5040a2 [0,0,0,57,-6858] 2 [21:60:1]
5040b (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  2 -2  6  0
Curve Equation t 5040b1 [0,0,0,162,-513] 2 5040b2 [0,0,0,-783,-4482] 2
5040c (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7- -2 -6 -2 -4
Curve Equation t 5040c1 [0,0,0,-145638,-24214437] 2 5040c2 [0,0,0,-2414583,-1444120218] 2
5040d (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  4  6  4  2
Curve Equation t 5040d1 [0,0,0,-243,-702] 2 5040d2 [0,0,0,837,-5238] 2
5040e (2 curves)	0	2+ 3+ 5- 7+	2+ 3+ 5- 7+  2 -2  2  8
Curve Equation t 5040e1 [0,0,0,-2862,57591] 2 5040e2 [0,0,0,513,185166] 2
5040f (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  2 -6  2 -4
Curve Equation t Generators 5040f1 [0,0,0,-16182,896831] 2 [47:490:1] 5040f2 [0,0,0,-268287,53485934] 2 [173:-3500:1]
5040g (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7- -2 -2 -6  0
Curve Equation t Generators 5040g1 [0,0,0,18,19] 2 [3:10:1] 5040g2 [0,0,0,-87,166] 2 [-3:20:1]
5040h (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7- -4  6 -4  2
Curve Equation t Generators 5040h1 [0,0,0,-27,26] 2 [-5:6:1] 5040h2 [0,0,0,93,194] 2 [5:28:1]
5040i (6 curves)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  4 -2  6 -4
Curve Equation t 5040i1 [0,0,0,-6618,207223] 2 5040i2 [0,0,0,-6663,204262] 4 5040i3 [0,0,0,-15483,-450182] 4 5040i4 [0,0,0,1437,669202] 2 5040i5 [0,0,0,-219603,-39600398] 2 5040i6 [0,0,0,47517,-3184382] 2
5040j (1 curve)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+ -5 -5  7  2
Curve Equation t 5040j1 [0,0,0,-3708,89532] 1
5040k (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  0  2 -2  0
Curve Equation t Generators 5040k1 [0,0,0,-138,187] 2 [-1:18:1] 5040k2 [0,0,0,-1263,-17138] 4 [62:378:1] 5040k3 [0,0,0,-20163,-1101998] 2 [242:2862:1] 5040k4 [0,0,0,-363,-41078] 2 [59:378:1]
5040l (6 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  4 -2 -2 -4
Curve Equation t Generators 5040l1 [0,0,0,-138,2567] 2 [-1:52:1] 5040l2 [0,0,0,-3783,89318] 4 [-11:360:1] 5040l3 [0,0,0,-5403,5402] 4 [-53:378:1] 5040l4 [0,0,0,-60483,5725298] 2 [178:774:1] 5040l5 [0,0,0,-58323,-5403022] 2 [-137:126:1] 5040l6 [0,0,0,21597,43202] 2 [61:1260:1]
5040m (6 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -4 -2 -2  4
Curve Equation t Generators 5040m1 [0,0,0,-1578,24127] 2 [11:90:1] 5040m2 [0,0,0,-1623,22678] 4 [-19:216:1] 5040m3 [0,0,0,-6123,-160022] 4 [-51:140:1] 5040m4 [0,0,0,2157,112642] 2 [2:342:1] 5040m5 [0,0,0,-94323,-11149742] 2 [-177:14:1] 5040m6 [0,0,0,10077,-863102] 2 [111:1274:1]
5040n (4 curves)	1	2+ 3- 5- 7+	2+ 3- 5- 7+  0  2 -2 -4
Curve Equation t Generators 5040n1 [0,0,0,-327,-2266] 2 [-10:2:1] 5040n2 [0,0,0,-507,506] 4 [-13:70:1] 5040n3 [0,0,0,-5907,174386] 2 [55:126:1] 5040n4 [0,0,0,2013,4034] 2 [13:180:1]
5040o (4 curves)	1	2+ 3- 5- 7+	2+ 3- 5- 7+  0 -2 -6  4
Curve Equation t Generators 5040o1 [0,0,0,78,-2189] 2 [27:140:1] 5040o2 [0,0,0,-2127,-36146] 4 [-27:40:1] 5040o3 [0,0,0,-33627,-2373446] 2 [218:810:1] 5040o4 [0,0,0,-5907,127906] 4 [-63:500:1]
5040p (4 curves)	1	2+ 3- 5- 7+	2+ 3- 5- 7+ -4  2  2  0
Curve Equation t Generators 5040p1 [0,0,0,78,79] 2 [15:68:1] 5040p2 [0,0,0,-327,646] 4 [-10:54:1] 5040p3 [0,0,0,-3027,-63614] 2 [-30:14:1] 5040p4 [0,0,0,-4107,101194] 4 [-37:450:1]
5040q (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  0  6  2 -4
Curve Equation t 5040q1 [0,0,0,-251922,-48659389] 2 5040q2 [0,0,0,-280047,-37122514] 4 5040q3 [0,0,0,-1823547,920156186] 2 5040q4 [0,0,0,813453,-256041214] 4
5040r (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  4 -2  6  0
Curve Equation t 5040r1 [0,0,0,-2847,-58466] 2 5040r2 [0,0,0,-3027,-50654] 4 5040r3 [0,0,0,-15627,707866] 2 5040r4 [0,0,0,6693,-309206] 4
5040s (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -4 -6  2  8
Curve Equation t 5040s1 [0,0,0,-642,-6001] 2 5040s2 [0,0,0,-1767,20774] 4 5040s3 [0,0,0,-26067,1619714] 4 5040s4 [0,0,0,4533,135434] 2
5040t (1 curve)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -5  1 -3  6
Curve Equation t 5040t1 [0,0,0,-12,124] 1
5040u (4 curves)	0	2- 3+ 5+ 7+	2- 3+ 5+ 7+  0  2  0 -2
Curve Equation t 5040u1 [0,0,0,-1683,-26542] 2 5040u2 [0,0,0,-1203,-41998] 2 5040u3 [0,0,0,-6723,185922] 2 5040u4 [0,0,0,10557,984258] 2
5040v (4 curves)	0	2- 3+ 5+ 7+	2- 3+ 5+ 7+  0 -4 -6 -2
Curve Equation t 5040v1 [0,0,0,-348,-2497] 2 5040v2 [0,0,0,-423,-1342] 2 5040v3 [0,0,0,-1188,12987] 2 5040v4 [0,0,0,-18063,934362] 2
5040w (2 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7- -4  0  2  6
Curve Equation t Generators 5040w1 [0,0,0,-108,243] 2 [-11:10:1] 5040w2 [0,0,0,-783,-8262] 2 [738:20034:1]
5040x (2 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7- -4  6 -4 -6
Curve Equation t Generators 5040x1 [0,0,0,-737883,243438858] 2 [423:2646:1] 5040x2 [0,0,0,-461403,428072202] 2 [-611:21952:1]
5040y (4 curves)	1	2- 3+ 5- 7+	2- 3+ 5- 7+  0  2  0 -2
Curve Equation t Generators 5040y1 [0,0,0,-747,-6886] 2 [-17:30:1] 5040y2 [0,0,0,1173,-36454] 2 [37:240:1] 5040y3 [0,0,0,-15147,716634] 2 [15:702:1] 5040y4 [0,0,0,-10827,1133946] 2 [-3:1080:1]
5040z (4 curves)	1	2- 3+ 5- 7+	2- 3+ 5- 7+  0 -4  6 -2
Curve Equation t Generators 5040z1 [0,0,0,-132,-481] 2 [-7:10:1] 5040z2 [0,0,0,-2007,-34606] 2 [58:210:1] 5040z3 [0,0,0,-3132,67419] 2 [13:170:1] 5040z4 [0,0,0,-3807,36234] 2 [50:901:8]
5040ba (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  4  0 -2  6
Curve Equation t 5040ba1 [0,0,0,-12,-9] 2 5040ba2 [0,0,0,-87,306] 2
5040bb (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  4  6  4 -6
Curve Equation t 5040bb1 [0,0,0,-81987,-9016254] 2 5040bb2 [0,0,0,-51267,-15854526] 2
5040bc (8 curves)	1	2- 3- 5+ 7+	2- 3- 5+ 7+  0  2  6 -8
Curve Equation t Generators 5040bc1 [0,0,0,-71643,7378058] 2 [-227:3456:1] 5040bc2 [0,0,0,-83163,4845962] 4 [-233:3402:1] 5040bc3 [0,0,0,-212043,-28562182] 2 [-209:2574:1] 5040bc4 [0,0,0,-627483,-187952182] 2 [-457:1834:1] 5040bc5 [0,0,0,276837,35589962] 2 [2279:111818:1] 5040bc6 [0,0,0,-3161163,-2163135238] 4 [-1359523:407862:1331] 5040bc7 [0,0,0,-50577483,-138447122182] 2 [13973162749:-1734715931850:753571] 5040bc8 [0,0,0,-2930763,-2491823878] 2 [8191785371:-1092072704346:456533]
5040bd (4 curves)	1	2- 3- 5+ 7+	2- 3- 5+ 7+  0 -6 -2  8
Curve Equation t Generators 5040bd1 [0,0,0,-363,2522] 2 [-11:72:1] 5040bd2 [0,0,0,-1083,-10582] 4 [-19:56:1] 5040bd3 [0,0,0,-16203,-793798] 2 [-73:2:1] 5040bd4 [0,0,0,2517,-66022] 2 [71:686:1]
5040be (2 curves)	1	2- 3- 5+ 7+	2- 3- 5+ 7+ -2  4 -2 -2
Curve Equation t Generators 5040be1 [0,0,0,-5088,139687] 2 [101:810:1] 5040be2 [0,0,0,-4863,152602] 2 [2:378:1]
5040bf (2 curves)	1	2- 3- 5+ 7+	2- 3- 5+ 7+  3 -1  3 -2
Curve Equation t Generators 5040bf1 [0,0,0,-48,-628] 1 [14:38:1] 5040bf2 [0,0,0,-7248,-237508] 1 [1994:88958:1]
5040bg (6 curves)	1	2- 3- 5+ 7+	2- 3- 5+ 7+  4 -2 -2  4
Curve Equation t Generators 5040bg1 [0,0,0,1437,-29342] 2 [23:126:1] 5040bg2 [0,0,0,-10083,-303518] 4 [-49:270:1] 5040bg3 [0,0,0,-151203,-22628702] 4 [503:5346:1] 5040bg4 [0,0,0,-53283,4474402] 2 [239:2322:1] 5040bg5 [0,0,0,-2419203,-1448293502] 2 [8903:826254:1] 5040bg6 [0,0,0,-141123,-25775678] 2 [238917:22453750:27]
5040bh (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  2  4 -2  2
Curve Equation t 5040bh1 [0,0,0,-48,47] 2 5040bh2 [0,0,0,177,362] 2
5040bi (8 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -4 -2 -2 -4
Curve Equation t 5040bi1 [0,0,0,30237,1524962] 2 5040bi2 [0,0,0,-154083,13653218] 4 5040bi3 [0,0,0,-1087203,-426592798] 4 5040bi4 [0,0,0,-2170083,1230107618] 2 5040bi5 [0,0,0,-17287203,-27665272798] 4 5040bi6 [0,0,0,182877,-1363657822] 2 5040bi7 [0,0,0,-276595203,-1770578063998] 2 5040bi8 [0,0,0,-17179203,-28028001598] 2
5040bj (8 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+  0  2  6  4
Curve Equation t 5040bj1 [0,0,0,-5907,-61486] 2 5040bj2 [0,0,0,-51987,4518866] 4 5040bj3 [0,0,0,-386067,-92329774] 2 5040bj4 [0,0,0,-829587,290831186] 2 5040bj5 [0,0,0,-11667,11349074] 2 5040bj6 [0,0,0,-388947,-90882286] 4 5040bj7 [0,0,0,-928947,216809714] 2 5040bj8 [0,0,0,104973,-305935054] 2
5040bk (3 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+ -3  5 -3 -2
Curve Equation t 5040bk1 [0,0,0,-192,1136] 1 5040bk2 [0,0,0,1248,-2896] 1 5040bk3 [0,0,0,-18912,-1047184] 1
5040bl (4 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+  6 -4 -6 -2
Curve Equation t 5040bl1 [0,0,0,-552,4979] 2 5040bl2 [0,0,0,-327,9074] 2 5040bl3 [0,0,0,-2712,-50209] 2 5040bl4 [0,0,0,2913,-231334] 2
5040bm (2 curves)	1	2- 3- 5- 7-	2- 3- 5- 7-  2  4 -6 -6
Curve Equation t Generators 5040bm1 [0,0,0,-36552,1788379] 2 [1553:60750:1] 5040bm2 [0,0,0,104073,12222754] 2 [-22:3150:1]
5040bn (4 curves)	1	2- 3- 5- 7-	2- 3- 5- 7-  4 -6 -2  0
Curve Equation t Generators 5040bn1 [0,0,0,333,-3726] 2 [18:90:1] 5040bn2 [0,0,0,-2547,-40014] 4 [-33:90:1] 5040bn3 [0,0,0,-38547,-2912814] 2 [-113:10:1] 5040bn4 [0,0,0,-12627,510354] 2 [-47:1000:1]
5040bo (4 curves)	1	2- 3- 5- 7-	2- 3- 5- 7- -4 -2  6  0
Curve Equation t Generators 5040bo1 [0,0,0,-507,-2774] 2 [-10:36:1] 5040bo2 [0,0,0,-3387,73834] 4 [-25:378:1] 5040bo3 [0,0,0,-53787,4801354] 2 [135:22:1] 5040bo4 [0,0,0,933,249226] 4 [-43:360:1]
5040bp (1 curve)	1	2- 3- 5- 7-	2- 3- 5- 7- -5 -3  1 -6
Curve Equation t Generators 5040bp1 [0,0,0,288,5724] 1 [10:98:1]

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