Cremona's table of elliptic curves

4095 = 3² · 5 · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
4095a (2 curves)	1	3+ 5+ 7+ 13+	-1 3+ 5+ 7+  6 13+ -4 -4
Curve Equation t Generators 4095a1 [1,-1,1,-131318,-18283268] 2 [157906:1403051:343] 4095a2 [1,-1,1,-131513,-18226094] 2 [-212:410:1]
4095b (2 curves)	0	3+ 5+ 7+ 13-	1 3+ 5+ 7+  6 13-  0  0
Curve Equation t 4095b1 [1,-1,0,-1380,20075] 2 4095b2 [1,-1,0,-1575,14186] 2
4095c (2 curves)	1	3+ 5+ 7- 13-	1 3+ 5+ 7-  2 13- -8  8
Curve Equation t Generators 4095c1 [1,-1,0,-15,16] 2 [0:4:1] 4095c2 [1,-1,0,-210,1225] 2 [0:35:1]
4095d (2 curves)	0	3+ 5- 7+ 13+	1 3+ 5- 7+ -6 13+  4 -4
Curve Equation t 4095d1 [1,-1,0,-1181859,494830088] 2 4095d2 [1,-1,0,-1183614,493288145] 2
4095e (2 curves)	1	3+ 5- 7+ 13-	-1 3+ 5- 7+ -6 13-  0  0
Curve Equation t Generators 4095e1 [1,-1,1,-12422,-529604] 2 [-64:44:1] 4095e2 [1,-1,1,-14177,-368846] 2 [-88:481:1]
4095f (2 curves)	0	3+ 5- 7- 13-	-1 3+ 5- 7- -2 13-  8  8
Curve Equation t 4095f1 [1,-1,1,-137,-296] 2 4095f2 [1,-1,1,-1892,-31184] 2
4095g (4 curves)	1	3- 5+ 7+ 13-	1 3- 5+ 7+  0 13-  6  0
Curve Equation t Generators 4095g1 [1,-1,0,-600,-5509] 2 [50:271:1] 4095g2 [1,-1,0,-645,-4600] 4 [40:160:1] 4095g3 [1,-1,0,-3570,79055] 2 [398:1007:8] 4095g4 [1,-1,0,1560,-30619] 2 [20:81:1]
4095h (4 curves)	1	3- 5+ 7+ 13-	-1 3- 5+ 7+ -4 13-  2  4
Curve Equation t Generators 4095h1 [1,-1,1,-1283,18002] 4 [-27:193:1] 4095h2 [1,-1,1,-1328,16706] 4 [-12:181:1] 4095h3 [1,-1,1,-5423,-135628] 2 [-33:97:1] 4095h4 [1,-1,1,2047,85556] 2 [0:292:1]
4095i (6 curves)	0	3- 5+ 7- 13-	1 3- 5+ 7- -4 13- -2 -4
Curve Equation t 4095i1 [1,-1,0,1350,-105089] 2 4095i2 [1,-1,0,-26775,-1584464] 4 4095i3 [1,-1,0,-421650,-105278639] 2 4095i4 [1,-1,0,-81900,7092211] 4 4095i5 [1,-1,0,-1230075,525378406] 2 4095i6 [1,-1,0,184275,43451716] 2
4095j (4 curves)	1	3- 5- 7+ 13+	-1 3- 5- 7+  0 13+  2 -4
Curve Equation t Generators 4095j1 [1,-1,1,-452,-2546] 2 [-8:26:1] 4095j2 [1,-1,1,-2657,51256] 4 [-14:299:1] 4095j3 [1,-1,1,-42032,3327256] 2 [121:-16:1] 4095j4 [1,-1,1,1438,192124] 2 [7:446:1]
4095k (4 curves)	1	3- 5- 7+ 13+	-1 3- 5- 7+ -4 13+ -6  8
Curve Equation t Generators 4095k1 [1,-1,1,-257,-304] 2 [-6:34:1] 4095k2 [1,-1,1,-2462,47324] 4 [-18:301:1] 4095k3 [1,-1,1,-39317,3010466] 2 [96:289:1] 4095k4 [1,-1,1,-887,105914] 2 [-11:343:1]
4095l (4 curves)	0	3- 5- 7+ 13-	-1 3- 5- 7+  0 13- -2 -4
Curve Equation t 4095l1 [1,-1,1,-2102,31596] 4 4095l2 [1,-1,1,-9707,-336486] 4 4095l3 [1,-1,1,-151862,-22740114] 2 4095l4 [1,-1,1,10768,-1581366] 2
4095m (4 curves)	0	3- 5- 7- 13+	1 3- 5- 7-  4 13+ -2  0
Curve Equation t 4095m1 [1,-1,0,-9189,338040] 2 4095m2 [1,-1,0,-16794,-296217] 4 4095m3 [1,-1,0,-217449,-38942370] 2 4095m4 [1,-1,0,62181,-2333772] 2
4095n (4 curves)	1	3- 5- 7- 13-	-1 3- 5- 7-  0 13- -2  4
Curve Equation t Generators 4095n1 [1,-1,1,58,-196] 2 [4:7:1] 4095n2 [1,-1,1,-347,-1654] 4 [-14:24:1] 4095n3 [1,-1,1,-5072,-137734] 2 [-41:24:1] 4095n4 [1,-1,1,-2102,36254] 4 [-48:181:1]

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

Part of Computational Number Theory
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