Cremona's table of elliptic curves

42560 = 2⁶ · 5 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
42560a (4 curves)	1	2+ 5+ 7+ 19+	2+  0 5+ 7+  4  2  2 19+
Curve Equation t Generators 42560a1 [0,0,0,-908,-10512] 2 [9270:71808:125] 42560a2 [0,0,0,-1228,-2448] 4 [-27:105:1] 42560a3 [0,0,0,4852,-19472] 2 [7608:131500:27] 42560a4 [0,0,0,-12428,530672] 2 [293:4695:1]
42560b (2 curves)	1	2+ 5+ 7+ 19+	2+ -2 5+ 7+ -4  4 -2 19+
Curve Equation t Generators 42560b1 [0,1,0,-301,-2061] 2 [-10:7:1] 42560b2 [0,1,0,79,-6545] 2 [37:220:1]
42560c (1 curve)	1	2+ 5+ 7+ 19+	2+ -2 5+ 7+  5  1  3 19+
Curve Equation t Generators 42560c1 [0,1,0,-1,-225] 1 [9:24:1]
42560d (1 curve)	1	2+ 5+ 7+ 19+	2+  3 5+ 7+  0  4  1 19+
Curve Equation t Generators 42560d1 [0,0,0,-1228,65648] 1 [282:6272:27]
42560e (1 curve)	0	2+ 5+ 7+ 19-	2+  0 5+ 7+  3 -1 -7 19-
Curve Equation t 42560e1 [0,0,0,-5708,-182992] 1
42560f (1 curve)	0	2+ 5+ 7+ 19-	2+ -1 5+ 7+  2  0 -1 19-
Curve Equation t 42560f1 [0,-1,0,-7761,271345] 1
42560g (1 curve)	0	2+ 5+ 7+ 19-	2+ -1 5+ 7+ -3  5 -1 19-
Curve Equation t 42560g1 [0,-1,0,9099,-10814099] 1
42560h (1 curve)	0	2+ 5+ 7+ 19-	2+ -1 5+ 7+ -6  4 -5 19-
Curve Equation t 42560h1 [0,-1,0,-12656,-1274294] 1
42560i (2 curves)	0	2+ 5+ 7+ 19-	2+  2 5+ 7+  0  2  2 19-
Curve Equation t 42560i1 [0,-1,0,-21,245] 2 42560i2 [0,-1,0,-721,7665] 2
42560j (1 curve)	0	2+ 5+ 7+ 19-	2+  2 5+ 7+ -1  3 -7 19-
Curve Equation t 42560j1 [0,-1,0,-4481,465281] 1
42560k (2 curves)	0	2+ 5+ 7+ 19-	2+  2 5+ 7+ -4 -4  6 19-
Curve Equation t 42560k1 [0,-1,0,-301,-2499] 2 42560k2 [0,-1,0,-5201,-142639] 2
42560l (1 curve)	2	2+ 5+ 7- 19+	2+  0 5+ 7- -3 -1 -7 19+
Curve Equation t Generators 42560l1 [0,0,0,-5708,182992] 1 [-78:392:1]&[34:168:1]
42560m (4 curves)	0	2+ 5+ 7- 19+	2+  0 5+ 7-  4 -2  2 19+
Curve Equation t 42560m1 [0,0,0,-8648,306472] 2 42560m2 [0,0,0,-15868,-279792] 4 42560m3 [0,0,0,58612,-2156688] 2 42560m4 [0,0,0,-205868,-35923792] 2
42560n (1 curve)	0	2+ 5+ 7- 19+	2+  1 5+ 7-  6  4 -5 19+
Curve Equation t 42560n1 [0,1,0,-12656,1274294] 1
42560o (2 curves)	0	2+ 5+ 7- 19+	2+ -1 5+ 7-  6  4  3 19+
Curve Equation t 42560o1 [0,-1,0,79,721] 1 42560o2 [0,-1,0,-721,-22159] 1
42560p (4 curves)	0	2+ 5+ 7- 19+	2+  2 5+ 7-  0 -2 -6 19+
Curve Equation t 42560p1 [0,-1,0,-1141,16341] 2 42560p2 [0,-1,0,-18641,985841] 2 42560p3 [0,-1,0,6859,-6859] 2 42560p4 [0,-1,0,-27441,-27439] 2
42560q (2 curves)	0	2+ 5+ 7- 19+	2+  2 5+ 7-  3  7  3 19+
Curve Equation t 42560q1 [0,-1,0,-104641,13671105] 1 42560q2 [0,-1,0,560959,26686145] 1
42560r (1 curve)	0	2+ 5+ 7- 19+	2+ -3 5+ 7-  3 -3  3 19+
Curve Equation t 42560r1 [0,0,0,-388,-2942] 1
42560s (1 curve)	1	2+ 5+ 7- 19-	2+  0 5+ 7-  1 -3 -3 19-
Curve Equation t Generators 42560s1 [0,0,0,-908,-10768] 1 [424:8708:1]
42560t (4 curves)	1	2+ 5+ 7- 19-	2+  0 5+ 7- -4  2  2 19-
Curve Equation t Generators 42560t1 [0,0,0,-3912488,3002222088] 2 [801:19551:1] 42560t2 [0,0,0,-62736988,191264151888] 4 [124527:-123823:27] 42560t3 [0,0,0,-62874188,190385577968] 2 [3848:73644:1] 42560t4 [0,0,0,-1003791788,12240906233008] 2 [18328:8436:1]
42560u (1 curve)	1	2+ 5+ 7- 19-	2+  1 5+ 7-  0  4 -3 19-
Curve Equation t Generators 42560u1 [0,1,0,-161,959] 1 [-13:32:1]
42560v (2 curves)	1	2+ 5+ 7- 19-	2+  1 5+ 7-  3  1  3 19-
Curve Equation t Generators 42560v1 [0,1,0,-841,53545] 1 [96:931:1] 42560v2 [0,1,0,-66641,-8719135] 1 [2776168:56950277:4913]
42560w (1 curve)	1	2+ 5+ 7- 19-	2+  2 5+ 7- -5  1  3 19-
Curve Equation t Generators 42560w1 [0,-1,0,-1,225] 1 [0:15:1]
42560x (1 curve)	0	2+ 5- 7+ 19+	2+  0 5- 7+  1  1 -3 19+
Curve Equation t 42560x1 [0,0,0,-227372,45511216] 1
42560y (1 curve)	0	2+ 5- 7+ 19+	2+  1 5- 7+ -2  4 -3 19+
Curve Equation t 42560y1 [0,1,0,0,-10] 1
42560z (1 curve)	0	2+ 5- 7+ 19+	2+  2 5- 7+  1 -3 -7 19+
Curve Equation t 42560z1 [0,-1,0,-71905,-7434975] 1
42560ba (1 curve)	0	2+ 5- 7+ 19+	2+  3 5- 7+ -2  4 -3 19+
Curve Equation t 42560ba1 [0,0,0,43268,-260944] 1
42560bb (2 curves)	1	2+ 5- 7+ 19-	2+  0 5- 7+  0  0 -2 19-
Curve Equation t Generators 42560bb1 [0,0,0,-5827,-171204] 2 [706:345:8] 42560bb2 [0,0,0,-5732,-177056] 2 [213:2875:1]
42560bc (1 curve)	1	2+ 5- 7+ 19-	2+  0 5- 7+ -5 -5  3 19-
Curve Equation t Generators 42560bc1 [0,0,0,-507692,139235056] 1 [420:304:1]
42560bd (1 curve)	1	2+ 5- 7+ 19-	2+  1 5- 7+  0 -4  7 19-
Curve Equation t Generators 42560bd1 [0,1,0,161055,49977983] 1 [18222527:591388672:24389]
42560be (1 curve)	1	2+ 5- 7+ 19-	2+ -1 5- 7+ -3  1 -7 19-
Curve Equation t Generators 42560be1 [0,-1,0,-1015,-12775] 1 [40:95:1]
42560bf (1 curve)	1	2+ 5- 7+ 19-	2+  2 5- 7+  3 -1 -5 19-
Curve Equation t Generators 42560bf1 [0,-1,0,11935,-229663] 1 [19:60:1]
42560bg (1 curve)	1	2+ 5- 7+ 19-	2+ -2 5- 7+  3 -1 -5 19-
Curve Equation t Generators 42560bg1 [0,1,0,-26145,1618495] 1 [93:4:1]
42560bh (2 curves)	1	2+ 5- 7- 19+	2+  0 5- 7-  0  0 -2 19+
Curve Equation t Generators 42560bh1 [0,0,0,-5827,171204] 2 [-32:570:1] 42560bh2 [0,0,0,-5732,177056] 2 [37:125:1]
42560bi (1 curve)	1	2+ 5- 7- 19+	2+  0 5- 7-  5 -5  3 19+
Curve Equation t Generators 42560bi1 [0,0,0,-507692,-139235056] 1 [1833222477567249287515:-345866471123032996570979:51481754118684343]
42560bj (1 curve)	1	2+ 5- 7- 19+	2+  1 5- 7-  3  1 -7 19+
Curve Equation t Generators 42560bj1 [0,1,0,-1015,12775] 1 [150:1805:1]
42560bk (1 curve)	1	2+ 5- 7- 19+	2+  1 5- 7- -4  0 -1 19+
Curve Equation t Generators 42560bk1 [0,1,0,4095,119903] 1 [91:1120:1]
42560bl (2 curves)	1	2+ 5- 7- 19+	2+ -1 5- 7-  0  4  3 19+
Curve Equation t Generators 42560bl1 [0,-1,0,-21985,1262177] 1 [137:896:1] 42560bl2 [0,-1,0,2655,3861025] 1 [57:-2048:1]
42560bm (2 curves)	1	2+ 5- 7- 19+	2+  2 5- 7-  3 -5 -3 19+
Curve Equation t Generators 42560bm1 [0,-1,0,-225,6497] 1 [-13:84:1] 42560bm2 [0,-1,0,2015,-167775] 1 [147:1812:1]
42560bn (1 curve)	1	2+ 5- 7- 19+	2+ -3 5- 7-  1 -5  5 19+
Curve Equation t Generators 42560bn1 [0,0,0,368,-2144] 1 [17:95:1]
42560bo (4 curves)	0	2+ 5- 7- 19-	2+  0 5- 7-  4  6  6 19-
Curve Equation t 42560bo1 [0,0,0,-22172,1270736] 2 42560bo2 [0,0,0,-22252,1261104] 4 42560bo3 [0,0,0,-2252,3445104] 4 42560bo4 [0,0,0,-43532,-1539344] 2
42560bp (4 curves)	0	2+ 5- 7- 19-	2+  0 5- 7- -4 -2 -2 19-
Curve Equation t 42560bp1 [0,0,0,-2252,6256] 2 42560bp2 [0,0,0,-22732,-1312656] 4 42560bp3 [0,0,0,-9932,-2782096] 4 42560bp4 [0,0,0,-363212,-84253584] 2
42560bq (1 curve)	0	2+ 5- 7- 19-	2+  0 5- 7-  5  1 -5 19-
Curve Equation t 42560bq1 [0,0,0,1108,-2256] 1
42560br (1 curve)	0	2+ 5- 7- 19-	2+  1 5- 7- -3  3  5 19-
Curve Equation t 42560br1 [0,1,0,-565,-7277] 1
42560bs (1 curve)	0	2+ 5- 7- 19-	2+ -1 5- 7-  2  0  1 19-
Curve Equation t 42560bs1 [0,-1,0,-13105,-573103] 1
42560bt (1 curve)	0	2+ 5- 7- 19-	2+ -1 5- 7-  2  4 -3 19-
Curve Equation t 42560bt1 [0,-1,0,0,10] 1
42560bu (1 curve)	2	2+ 5- 7- 19-	2+ -2 5- 7- -1 -3 -7 19-
Curve Equation t Generators 42560bu1 [0,1,0,-71905,7434975] 1 [-310:175:1]&[-185:3800:1]
42560bv (1 curve)	2	2- 5+ 7+ 19+	2-  0 5+ 7+ -1 -3 -3 19+
Curve Equation t Generators 42560bv1 [0,0,0,-908,10768] 1 [18:16:1]&[-14:144:1]
42560bw (4 curves)	0	2- 5+ 7+ 19+	2-  0 5+ 7+  4  2  2 19+
Curve Equation t 42560bw1 [0,0,0,-3912488,-3002222088] 2 42560bw2 [0,0,0,-62736988,-191264151888] 4 42560bw3 [0,0,0,-62874188,-190385577968] 2 42560bw4 [0,0,0,-1003791788,-12240906233008] 2
42560bx (1 curve)	0	2- 5+ 7+ 19+	2- -1 5+ 7+  0  0 -3 19+
Curve Equation t 42560bx1 [0,-1,0,-9799676,-11804446790] 1
42560by (1 curve)	0	2- 5+ 7+ 19+	2- -1 5+ 7+  0  0  5 19+
Curve Equation t 42560by1 [0,-1,0,-476,5530] 1
42560bz (1 curve)	0	2- 5+ 7+ 19+	2- -1 5+ 7+  0  4 -3 19+
Curve Equation t 42560bz1 [0,-1,0,-161,-959] 1
42560ca (2 curves)	0	2- 5+ 7+ 19+	2- -1 5+ 7+ -3  1  3 19+
Curve Equation t 42560ca1 [0,-1,0,-841,-53545] 1 42560ca2 [0,-1,0,-66641,8719135] 1
42560cb (1 curve)	0	2- 5+ 7+ 19+	2- -3 5+ 7+ -4  4 -3 19+
Curve Equation t 42560cb1 [0,0,0,-223,-1328] 1
42560cc (4 curves)	1	2- 5+ 7+ 19-	2-  0 5+ 7+  0 -2 -2 19-
Curve Equation t Generators 42560cc1 [0,0,0,-143,632] 2 [44:282:1] 42560cc2 [0,0,0,-388,-2112] 4 [-14:24:1] 42560cc3 [0,0,0,1012,-13872] 2 [21:129:1] 42560cc4 [0,0,0,-5708,-165968] 2 [181:2175:1]
42560cd (4 curves)	1	2- 5+ 7+ 19-	2-  0 5+ 7+ -4 -2  2 19-
Curve Equation t Generators 42560cd1 [0,0,0,-8648,-306472] 2 [113:399:1] 42560cd2 [0,0,0,-15868,279792] 4 [-126:528:1] 42560cd3 [0,0,0,58612,2156688] 2 [-609:24497:27] 42560cd4 [0,0,0,-205868,35923792] 2 [4624:312972:1]
42560ce (2 curves)	1	2- 5+ 7+ 19-	2-  1 5+ 7+ -6  4  3 19-
Curve Equation t Generators 42560ce1 [0,1,0,79,-721] 1 [11:40:1] 42560ce2 [0,1,0,-721,22159] 1 [27:152:1]
42560cf (4 curves)	1	2- 5+ 7+ 19-	2- -2 5+ 7+  0 -2 -6 19-
Curve Equation t Generators 42560cf1 [0,1,0,-1141,-16341] 2 [46:175:1] 42560cf2 [0,1,0,-18641,-985841] 2 [546:12325:1] 42560cf3 [0,1,0,6859,6859] 2 [19:380:1] 42560cf4 [0,1,0,-27441,27439] 2 [-75:1292:1]
42560cg (2 curves)	1	2- 5+ 7+ 19-	2- -2 5+ 7+ -3  7  3 19-
Curve Equation t Generators 42560cg1 [0,1,0,-104641,-13671105] 1 [38441530:1491457735:24389] 42560cg2 [0,1,0,560959,-26686145] 1 [154:7961:1]
42560ch (1 curve)	1	2- 5+ 7+ 19-	2-  3 5+ 7+ -3 -3  3 19-
Curve Equation t Generators 42560ch1 [0,0,0,-388,2942] 1 [309:19:27]
42560ci (4 curves)	1	2- 5+ 7- 19+	2-  0 5+ 7-  0 -2 -2 19+
Curve Equation t Generators 42560ci1 [0,0,0,-143,-632] 2 [-46:3:8] 42560ci2 [0,0,0,-388,2112] 4 [-4:60:1] 42560ci3 [0,0,0,1012,13872] 2 [24:228:1] 42560ci4 [0,0,0,-5708,165968] 2 [53:111:1]
42560cj (1 curve)	1	2- 5+ 7- 19+	2-  1 5+ 7- -2  0 -1 19+
Curve Equation t Generators 42560cj1 [0,1,0,-7761,-271345] 1 [211:-2744:1]
42560ck (1 curve)	1	2- 5+ 7- 19+	2-  1 5+ 7-  3  5 -1 19+
Curve Equation t Generators 42560ck1 [0,1,0,9099,10814099] 1 [-25190438:2438789137:753571]
42560cl (2 curves)	1	2- 5+ 7- 19+	2- -2 5+ 7-  0  2  2 19+
Curve Equation t Generators 42560cl1 [0,1,0,-21,-245] 2 [14:49:1] 42560cl2 [0,1,0,-721,-7665] 2 [34:91:1]
42560cm (1 curve)	1	2- 5+ 7- 19+	2- -2 5+ 7-  1  3 -7 19+
Curve Equation t Generators 42560cm1 [0,1,0,-4481,-465281] 1 [802:22637:1]
42560cn (2 curves)	1	2- 5+ 7- 19+	2- -2 5+ 7-  4 -4  6 19+
Curve Equation t Generators 42560cn1 [0,1,0,-301,2499] 2 [7:28:1] 42560cn2 [0,1,0,-5201,142639] 2 [-35:532:1]
42560co (4 curves)	0	2- 5+ 7- 19-	2-  0 5+ 7- -4  2  2 19-
Curve Equation t 42560co1 [0,0,0,-908,10512] 2 42560co2 [0,0,0,-1228,2448] 4 42560co3 [0,0,0,4852,19472] 2 42560co4 [0,0,0,-12428,-530672] 2
42560cp (1 curve)	0	2- 5+ 7- 19-	2-  1 5+ 7-  0  0 -3 19-
Curve Equation t 42560cp1 [0,1,0,-9799676,11804446790] 1
42560cq (1 curve)	0	2- 5+ 7- 19-	2-  1 5+ 7-  0  0  5 19-
Curve Equation t 42560cq1 [0,1,0,-476,-5530] 1
42560cr (2 curves)	0	2- 5+ 7- 19-	2-  2 5+ 7-  4  4 -2 19-
Curve Equation t 42560cr1 [0,-1,0,-301,2061] 2 42560cr2 [0,-1,0,79,6545] 2
42560cs (1 curve)	0	2- 5+ 7- 19-	2-  3 5+ 7-  4  4 -3 19-
Curve Equation t 42560cs1 [0,0,0,-223,1328] 1
42560ct (1 curve)	0	2- 5+ 7- 19-	2- -3 5+ 7-  0  4  1 19-
Curve Equation t 42560ct1 [0,0,0,-1228,-65648] 1
42560cu (4 curves)	1	2- 5- 7+ 19+	2-  0 5- 7+  4 -2 -2 19+
Curve Equation t Generators 42560cu1 [0,0,0,-2252,-6256] 2 [-9210:23903:216] 42560cu2 [0,0,0,-22732,1312656] 4 [-160:924:1] 42560cu3 [0,0,0,-9932,2782096] 2 [-198880:1283604:1331] 42560cu4 [0,0,0,-363212,84253584] 4 [4704:320100:1]
42560cv (4 curves)	1	2- 5- 7+ 19+	2-  0 5- 7+ -4  6  6 19+
Curve Equation t Generators 42560cv1 [0,0,0,-22172,-1270736] 2 [490:10272:1] 42560cv2 [0,0,0,-22252,-1261104] 4 [-80:84:1] 42560cv3 [0,0,0,-2252,-3445104] 2 [1920:84084:1] 42560cv4 [0,0,0,-43532,1539344] 4 [224:1740:1]
42560cw (1 curve)	1	2- 5- 7+ 19+	2-  0 5- 7+ -5  1 -5 19+
Curve Equation t Generators 42560cw1 [0,0,0,1108,2256] 1 [5:89:1]
42560cx (1 curve)	1	2- 5- 7+ 19+	2-  1 5- 7+ -2  0  1 19+
Curve Equation t Generators 42560cx1 [0,1,0,-13105,573103] 1 [51:200:1]
42560cy (1 curve)	1	2- 5- 7+ 19+	2- -1 5- 7+  3  3  5 19+
Curve Equation t Generators 42560cy1 [0,-1,0,-565,7277] 1 [-28:19:1]
42560cz (2 curves)	1	2- 5- 7+ 19+	2-  2 5- 7+  0 -6 -2 19+
Curve Equation t Generators 42560cz1 [0,-1,0,-40,102] 2 [2382:6409:216] 42560cz2 [0,-1,0,55,425] 2 [40:255:1]
42560da (2 curves)	0	2- 5- 7+ 19-	2-  1 5- 7+  0  4  3 19-
Curve Equation t 42560da1 [0,1,0,-21985,-1262177] 1 42560da2 [0,1,0,2655,-3861025] 1
42560db (1 curve)	0	2- 5- 7+ 19-	2- -1 5- 7+  4  0 -1 19-
Curve Equation t 42560db1 [0,-1,0,4095,-119903] 1
42560dc (2 curves)	2	2- 5- 7+ 19-	2- -2 5- 7+ -3 -5 -3 19-
Curve Equation t Generators 42560dc1 [0,1,0,-225,-6497] 1 [23:32:1]&[33:152:1] 42560dc2 [0,1,0,2015,167775] 1 [-30:285:1]&[-25:320:1]
42560dd (1 curve)	0	2- 5- 7+ 19-	2-  3 5- 7+ -1 -5  5 19-
Curve Equation t 42560dd1 [0,0,0,368,2144] 1
42560de (1 curve)	0	2- 5- 7- 19+	2- -1 5- 7-  0 -4  7 19+
Curve Equation t 42560de1 [0,-1,0,161055,-49977983] 1
42560df (1 curve)	0	2- 5- 7- 19+	2-  2 5- 7- -3 -1 -5 19+
Curve Equation t 42560df1 [0,-1,0,-26145,-1618495] 1
42560dg (1 curve)	2	2- 5- 7- 19+	2- -2 5- 7- -3 -1 -5 19+
Curve Equation t Generators 42560dg1 [0,1,0,11935,229663] 1 [-14:245:1]&[7:560:1]
42560dh (1 curve)	1	2- 5- 7- 19-	2-  0 5- 7- -1  1 -3 19-
Curve Equation t Generators 42560dh1 [0,0,0,-227372,-45511216] 1 [565:2527:1]
42560di (2 curves)	1	2- 5- 7- 19-	2- -2 5- 7-  0 -6 -2 19-
Curve Equation t Generators 42560di1 [0,1,0,-40,-102] 2 [74:161:8] 42560di2 [0,1,0,55,-425] 2 [10:35:1]
42560dj (1 curve)	1	2- 5- 7- 19-	2- -3 5- 7-  2  4 -3 19-
Curve Equation t Generators 42560dj1 [0,0,0,43268,260944] 1 [38:1400:1]

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

Part of Computational Number Theory
Back to Tables and computations