Cremona's table of elliptic curves

45760 = 2⁶ · 5 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
45760a (1 curve)	1	2+ 5+ 11+ 13+	2+  0 5+  0 11+ 13+ -7 -1
Curve Equation t Generators 45760a1 [0,0,0,-608,6048] 1 [17:25:1]
45760b (1 curve)	1	2+ 5+ 11+ 13+	2+  3 5+ -3 11+ 13+ -1  5
Curve Equation t Generators 45760b1 [0,0,0,-195628,67848752] 1 [-15054:51200:27]
45760c (4 curves)	2	2+ 5+ 11+ 13-	2+  0 5+  0 11+ 13- -2 -4
Curve Equation t Generators 45760c1 [0,0,0,-28328,1834952] 2 [-191:527:1]&[-23:1573:1] 45760c2 [0,0,0,-30748,1502928] 4 [-144:1716:1]&[-34:1584:1] 45760c3 [0,0,0,79252,9818928] 2 [-82:1664:1]&[216:6084:1] 45760c4 [0,0,0,-179468,-28062608] 2 [-248:1092:1]&[-203:63:1]
45760d (1 curve)	2	2+ 5+ 11+ 13-	2+ -3 5+ -1 11+ 13- -3 -1
Curve Equation t Generators 45760d1 [0,0,0,-3628,94768] 1 [-42:416:1]&[-3:325:1]
45760e (4 curves)	0	2+ 5+ 11- 13+	2+  0 5+  0 11- 13+  2 -4
Curve Equation t 45760e1 [0,0,0,-3682988,2742636848] 2 45760e2 [0,0,0,-59060908,174702154032] 4 45760e3 [0,0,0,-59194028,173875052848] 2 45760e4 [0,0,0,-944974508,11180938354992] 2
45760f (1 curve)	0	2+ 5+ 11- 13+	2+  0 5+  0 11- 13+ -3  1
Curve Equation t 45760f1 [0,0,0,172,-16702] 1
45760g (3 curves)	0	2+ 5+ 11- 13+	2+ -1 5+ -1 11- 13+ -3  7
Curve Equation t 45760g1 [0,-1,0,-31201,2994785] 1 45760g2 [0,-1,0,248799,-40293215] 1 45760g3 [0,-1,0,-5970401,-5667912095] 1
45760h (2 curves)	0	2+ 5+ 11- 13+	2+  2 5+  2 11- 13+ -3 -5
Curve Equation t 45760h1 [0,-1,0,-21,71] 1 45760h2 [0,-1,0,179,-1209] 1
45760i (2 curves)	0	2+ 5+ 11- 13+	2+ -2 5+  4 11- 13+ -2  0
Curve Equation t 45760i1 [0,1,0,1279,-15521] 2 45760i2 [0,1,0,-7041,-150305] 2
45760j (1 curve)	1	2+ 5+ 11- 13-	2+  0 5+  4 11- 13- -1  1
Curve Equation t Generators 45760j1 [0,0,0,-848,-29408] 1 [129:1417:1]
45760k (1 curve)	1	2+ 5+ 11- 13-	2+  1 5+  1 11- 13- -1 -3
Curve Equation t Generators 45760k1 [0,1,0,-68468641,-520194283841] 1 [658923692874:-7665618111281:60698457]
45760l (1 curve)	1	2+ 5+ 11- 13-	2+ -2 5+ -2 11- 13- -1 -1
Curve Equation t Generators 45760l1 [0,1,0,-22341,-1696541] 1 [462:9317:1]
45760m (2 curves)	1	2+ 5+ 11- 13-	2+ -2 5+  4 11- 13-  2  0
Curve Equation t Generators 45760m1 [0,1,0,-8801,323839] 2 [125:1092:1] 45760m2 [0,1,0,-141921,20531455] 2 [19:4224:1]
45760n (1 curve)	0	2+ 5- 11+ 13+	2+  1 5- -1 11+ 13+  5 -3
Curve Equation t 45760n1 [0,1,0,1695,1535] 1
45760o (4 curves)	0	2+ 5- 11+ 13+	2+  2 5- -4 11+ 13+ -6 -8
Curve Equation t 45760o1 [0,-1,0,6655,-6655] 2 45760o2 [0,-1,0,-26625,-26623] 2 45760o3 [0,-1,0,-91905,-11419903] 2 45760o4 [0,-1,0,-1497985,-705179775] 2
45760p (2 curves)	0	2+ 5- 11+ 13+	2+ -2 5- -2 11+ 13+  6  0
Curve Equation t 45760p1 [0,1,0,-965,-10517] 2 45760p2 [0,1,0,1455,-52625] 2
45760q (2 curves)	0	2+ 5- 11+ 13+	2+ -2 5-  4 11+ 13+ -6  0
Curve Equation t 45760q1 [0,1,0,577855,584195743] 2 45760q2 [0,1,0,-7941825,7888969375] 2
45760r (2 curves)	1	2+ 5- 11+ 13-	2+ -2 5-  2 11+ 13- -6  0
Curve Equation t Generators 45760r1 [0,1,0,-28080,6883678] 2 [-742:23595:8] 45760r2 [0,1,0,-742105,245225223] 2 [333:5928:1]
45760s (1 curve)	1	2+ 5- 11+ 13-	2+ -2 5- -2 11+ 13-  3  5
Curve Equation t Generators 45760s1 [0,1,0,-5,163] 1 [-2:13:1]
45760t (2 curves)	1	2+ 5- 11+ 13-	2+ -2 5- -4 11+ 13- -2  0
Curve Equation t Generators 45760t1 [0,1,0,-65,1183] 2 [3:32:1] 45760t2 [0,1,0,-2145,37375] 2 [35:-80:1]
45760u (1 curve)	1	2+ 5- 11- 13+	2+  1 5-  1 11- 13+ -5  3
Curve Equation t Generators 45760u1 [0,1,0,-59905,5623903] 1 [171:640:1]
45760v (1 curve)	1	2+ 5- 11- 13+	2+  1 5- -3 11- 13+  3 -1
Curve Equation t Generators 45760v1 [0,1,0,-705,-20065] 1 [43:176:1]
45760w (2 curves)	1	2+ 5- 11- 13+	2+  2 5-  2 11- 13+ -3 -5
Curve Equation t Generators 45760w1 [0,-1,0,-7125,234125] 1 [20:315:1] 45760w2 [0,-1,0,9515,1071117] 1 [-36:825:1]
45760x (1 curve)	2	2+ 5- 11- 13-	2+ -1 5- -5 11- 13- -3 -3
Curve Equation t Generators 45760x1 [0,-1,0,-3039745,2041958657] 1 [3089:-148720:1]&[-1487:57200:1]
45760y (2 curves)	0	2+ 5- 11- 13-	2+  2 5- -2 11- 13- -6  0
Curve Equation t 45760y1 [0,-1,0,-28080,-6883678] 2 45760y2 [0,-1,0,-742105,-245225223] 2
45760z (4 curves)	0	2- 5+ 11+ 13+	2-  0 5+  0 11+ 13+  2  4
Curve Equation t 45760z1 [0,0,0,-3682988,-2742636848] 2 45760z2 [0,0,0,-59060908,-174702154032] 4 45760z3 [0,0,0,-59194028,-173875052848] 2 45760z4 [0,0,0,-944974508,-11180938354992] 2
45760ba (1 curve)	0	2- 5+ 11+ 13+	2-  0 5+  0 11+ 13+ -3 -1
Curve Equation t 45760ba1 [0,0,0,172,16702] 1
45760bb (3 curves)	0	2- 5+ 11+ 13+	2-  1 5+  1 11+ 13+ -3 -7
Curve Equation t 45760bb1 [0,1,0,-31201,-2994785] 1 45760bb2 [0,1,0,248799,40293215] 1 45760bb3 [0,1,0,-5970401,5667912095] 1
45760bc (2 curves)	0	2- 5+ 11+ 13+	2-  2 5+ -4 11+ 13+ -2  0
Curve Equation t 45760bc1 [0,-1,0,1279,15521] 2 45760bc2 [0,-1,0,-7041,150305] 2
45760bd (2 curves)	0	2- 5+ 11+ 13+	2- -2 5+ -2 11+ 13+ -3  5
Curve Equation t 45760bd1 [0,1,0,-21,-71] 1 45760bd2 [0,1,0,179,1209] 1
45760be (1 curve)	1	2- 5+ 11+ 13-	2-  0 5+ -4 11+ 13- -1 -1
Curve Equation t Generators 45760be1 [0,0,0,-848,29408] 1 [1:169:1]
45760bf (1 curve)	1	2- 5+ 11+ 13-	2- -1 5+ -1 11+ 13- -1  3
Curve Equation t Generators 45760bf1 [0,-1,0,-68468641,520194283841] 1 [10603:993044:1]
45760bg (1 curve)	1	2- 5+ 11+ 13-	2-  2 5+  2 11+ 13- -1  1
Curve Equation t Generators 45760bg1 [0,-1,0,-22341,1696541] 1 [4155628604:280233160113:912673]
45760bh (2 curves)	1	2- 5+ 11+ 13-	2-  2 5+ -4 11+ 13-  2  0
Curve Equation t Generators 45760bh1 [0,-1,0,-8801,-323839] 2 [1811115591:-56199467008:1860867] 45760bh2 [0,-1,0,-141921,-20531455] 2 [-14959547:-216960:68921]
45760bi (2 curves)	1	2- 5+ 11+ 13-	2- -2 5+  0 11+ 13-  2  8
Curve Equation t Generators 45760bi1 [0,1,0,39,295] 2 [-1:16:1] 45760bi2 [0,1,0,-481,3519] 2 [-13:88:1]
45760bj (1 curve)	1	2- 5+ 11- 13+	2-  0 5+  0 11- 13+ -7  1
Curve Equation t Generators 45760bj1 [0,0,0,-608,-6048] 1 [89:803:1]
45760bk (1 curve)	1	2- 5+ 11- 13+	2- -3 5+  3 11- 13+ -1 -5
Curve Equation t Generators 45760bk1 [0,0,0,-195628,-67848752] 1 [4426:292864:1]
45760bl (4 curves)	0	2- 5+ 11- 13-	2-  0 5+  0 11- 13- -2  4
Curve Equation t 45760bl1 [0,0,0,-28328,-1834952] 2 45760bl2 [0,0,0,-30748,-1502928] 4 45760bl3 [0,0,0,79252,-9818928] 2 45760bl4 [0,0,0,-179468,28062608] 2
45760bm (2 curves)	0	2- 5+ 11- 13-	2-  2 5+  0 11- 13-  2 -8
Curve Equation t 45760bm1 [0,-1,0,39,-295] 2 45760bm2 [0,-1,0,-481,-3519] 2
45760bn (1 curve)	0	2- 5+ 11- 13-	2-  3 5+  1 11- 13- -3  1
Curve Equation t 45760bn1 [0,0,0,-3628,-94768] 1
45760bo (1 curve)	1	2- 5- 11+ 13+	2- -1 5- -1 11+ 13+ -5 -3
Curve Equation t Generators 45760bo1 [0,-1,0,-59905,-5623903] 1 [469:-8320:1]
45760bp (1 curve)	1	2- 5- 11+ 13+	2- -1 5-  3 11+ 13+  3  1
Curve Equation t Generators 45760bp1 [0,-1,0,-705,20065] 1 [37:208:1]
45760bq (2 curves)	1	2- 5- 11+ 13+	2- -2 5- -2 11+ 13+ -3  5
Curve Equation t Generators 45760bq1 [0,1,0,-7125,-234125] 1 [270:4195:1] 45760bq2 [0,1,0,9515,-1071117] 1 [86:625:1]
45760br (1 curve)	0	2- 5- 11+ 13-	2-  1 5-  5 11+ 13- -3  3
Curve Equation t 45760br1 [0,1,0,-3039745,-2041958657] 1
45760bs (1 curve)	2	2- 5- 11+ 13-	2- -1 5- -5 11+ 13- -5  1
Curve Equation t Generators 45760bs1 [0,-1,0,-65,4225] 1 [-15:40:1]&[-13:52:1]
45760bt (1 curve)	0	2- 5- 11- 13+	2- -1 5-  1 11- 13+  5  3
Curve Equation t 45760bt1 [0,-1,0,1695,-1535] 1
45760bu (2 curves)	0	2- 5- 11- 13+	2-  2 5-  2 11- 13+  6  0
Curve Equation t 45760bu1 [0,-1,0,-965,10517] 2 45760bu2 [0,-1,0,1455,52625] 2
45760bv (2 curves)	0	2- 5- 11- 13+	2-  2 5- -4 11- 13+ -6  0
Curve Equation t 45760bv1 [0,-1,0,577855,-584195743] 2 45760bv2 [0,-1,0,-7941825,-7888969375] 2
45760bw (4 curves)	0	2- 5- 11- 13+	2- -2 5-  4 11- 13+ -6  8
Curve Equation t 45760bw1 [0,1,0,6655,6655] 2 45760bw2 [0,1,0,-26625,26623] 2 45760bw3 [0,1,0,-91905,11419903] 2 45760bw4 [0,1,0,-1497985,705179775] 2
45760bx (1 curve)	1	2- 5- 11- 13-	2-  1 5-  5 11- 13- -5 -1
Curve Equation t Generators 45760bx1 [0,1,0,-65,-4225] 1 [65:520:1]
45760by (1 curve)	1	2- 5- 11- 13-	2-  2 5-  2 11- 13-  3 -5
Curve Equation t Generators 45760by1 [0,-1,0,-5,-163] 1 [424796:3925263:4913]
45760bz (2 curves)	1	2- 5- 11- 13-	2-  2 5-  4 11- 13- -2  0
Curve Equation t Generators 45760bz1 [0,-1,0,-65,-1183] 2 [258791:1830192:4913] 45760bz2 [0,-1,0,-2145,-37375] 2 [2559:20944:27]

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