Cremona's table of elliptic curves

23265 = 3² · 5 · 11 · 47

Class	r	Atkin-Lehner	Eigenvalues
23265a (1 curve)	0	3+ 5+ 11+ 47-	-1 3+ 5+  1 11+ -3 -3  5
Curve Equation t 23265a1 [1,-1,1,-3458,-692198] 1
23265b (2 curves)	2	3+ 5+ 11+ 47-	-1 3+ 5+ -2 11+ -2 -6  0
Curve Equation t Generators 23265b1 [1,-1,1,7,-144] 2 [6:6:1]&[8:15:1] 23265b2 [1,-1,1,-368,-2544] 2 [-12:11:1]&[-10:12:1]
23265c (2 curves)	0	3+ 5+ 11- 47+	1 3+ 5+ -2 11-  6  6 -4
Curve Equation t 23265c1 [1,-1,0,-11715,-1089200] 2 23265c2 [1,-1,0,-246090,-46886075] 2
23265d (2 curves)	1	3+ 5+ 11- 47-	0 3+ 5+ -1 11- -4 -6 -4
Curve Equation t Generators 23265d1 [0,0,1,-708,-9786] 3 [274:623:8] 23265d2 [0,0,1,-62748,-6049897] 1 [545610:11051059:1000]
23265e (1 curve)	1	3+ 5+ 11- 47-	-1 3+ 5+ -3 11-  5 -3  5
Curve Equation t Generators 23265e1 [1,-1,1,-14453,674206] 1 [118:716:1]
23265f (2 curves)	0	3+ 5- 11+ 47+	0 3+ 5- -1 11+ -4  6 -4
Curve Equation t 23265f1 [0,0,1,-6972,224070] 3 23265f2 [0,0,1,-6372,264215] 1
23265g (1 curve)	0	3+ 5- 11+ 47+	1 3+ 5- -3 11+  5  3  5
Curve Equation t 23265g1 [1,-1,0,-130074,-18073495] 1
23265h (2 curves)	1	3+ 5- 11+ 47-	-1 3+ 5- -2 11+  6 -6 -4
Curve Equation t Generators 23265h1 [1,-1,1,-105437,29513836] 2 [206:3959:1] 23265h2 [1,-1,1,-2214812,1268138836] 2 [506:16384:1]
23265i (1 curve)	1	3+ 5- 11- 47+	1 3+ 5-  1 11- -3  3  5
Curve Equation t Generators 23265i1 [1,-1,0,-384,25765] 1 [-4:167:1]
23265j (2 curves)	1	3+ 5- 11- 47+	1 3+ 5- -2 11- -2  6  0
Curve Equation t Generators 23265j1 [1,-1,0,66,3815] 2 [-58:461:8] 23265j2 [1,-1,0,-3309,71990] 2 [26:42:1]
23265k (1 curve)	0	3- 5+ 11+ 47+	1 3- 5+  1 11+ -3  6 -2
Curve Equation t 23265k1 [1,-1,0,-34470,5001021] 1
23265l (1 curve)	0	3- 5+ 11+ 47+	-2 3- 5+  1 11+  6 -6 -4
Curve Equation t 23265l1 [0,0,1,-87033,-16941362] 1
23265m (1 curve)	1	3- 5+ 11+ 47-	0 3- 5+ -2 11+  1 -4 -2
Curve Equation t Generators 23265m1 [0,0,1,-1098,-14047] 1 [39:49:1]
23265n (6 curves)	1	3- 5+ 11+ 47-	1 3- 5+  0 11+  6 -2  4
Curve Equation t Generators 23265n1 [1,-1,0,6975,-3207600] 2 [6480:518400:1] 23265n2 [1,-1,0,-288270,-57591729] 4 [-3617302582686:-8595476766057:10604499373] 23265n3 [1,-1,0,-729315,161254800] 4 [26082:34074837:2744] 23265n4 [1,-1,0,-4571145,-3760565454] 2 [-1675593211070939607720:746114871917690903627:1357631106416911872] 23265n5 [1,-1,0,2055060,1095134175] 2 [3786:249369:1] 23265n6 [1,-1,0,-10570410,13228260741] 2 [7567458296004:257311570461373:2363266368]
23265o (1 curve)	1	3- 5+ 11+ 47-	2 3- 5+ -2 11+  1  0  0
Curve Equation t Generators 23265o1 [0,0,1,87,2389] 1 [434:3263:8]
23265p (1 curve)	1	3- 5- 11+ 47+	0 3- 5- -2 11+  3  0  2
Curve Equation t Generators 23265p1 [0,0,1,-203052,46788660] 1 [428:6187:1]
23265q (4 curves)	1	3- 5- 11+ 47+	1 3- 5-  0 11+  2 -2  4
Curve Equation t Generators 23265q1 [1,-1,0,216,-437] 2 [14:65:1] 23265q2 [1,-1,0,-909,-2912] 4 [262:193:8] 23265q3 [1,-1,0,-8334,292603] 2 [12354:-949:216] 23265q4 [1,-1,0,-11484,-470327] 2 [22822:1206505:8]
23265r (2 curves)	1	3- 5- 11+ 47+	1 3- 5- -2 11+ -6 -6  2
Curve Equation t Generators 23265r1 [1,-1,0,-25749,1439968] 2 [212:2234:1] 23265r2 [1,-1,0,34146,7106035] 2 [-34:2447:1]
23265s (2 curves)	0	3- 5- 11+ 47-	1 3- 5-  2 11+  6  2 -2
Curve Equation t 23265s1 [1,-1,0,-99,0] 2 23265s2 [1,-1,0,396,-297] 2
23265t (1 curve)	0	3- 5- 11- 47+	2 3- 5-  5 11-  6 -2 -4
Curve Equation t 23265t1 [0,0,1,483,13225] 1
23265u (1 curve)	1	3- 5- 11- 47-	-1 3- 5-  3 11-  5  2 -6
Curve Equation t Generators 23265u1 [1,-1,1,-32,456] 1 [-4:24:1]

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