Cremona's table of elliptic curves

15040 = 2⁶ · 5 · 47

Class	r	Atkin-Lehner	Eigenvalues
15040a (1 curve)	1	2+ 5+ 47+	2+  1 5+  1  1  5  2  5
Curve Equation t Generators 15040a1 [0,1,0,-81,239] 1 [7:8:1]
15040b (2 curves)	1	2+ 5+ 47+	2+ -1 5+ -1 -3 -5  6  1
Curve Equation t Generators 15040b1 [0,-1,0,-369441,86553505] 1 [351:8:1] 15040b2 [0,-1,0,-406241,68306785] 1 [-129:10888:1]
15040c (1 curve)	1	2+ 5+ 47+	2+  3 5+ -3  1  1 -8  5
Curve Equation t Generators 15040c1 [0,0,0,-7468,57392] 1 [-1464:14860:27]
15040d (1 curve)	0	2+ 5+ 47-	2+  1 5+  1  3  3 -6  7
Curve Equation t 15040d1 [0,1,0,-321,1055] 1
15040e (1 curve)	0	2+ 5+ 47-	2+  1 5+ -1 -1  5  0 -5
Curve Equation t 15040e1 [0,1,0,-6241,162559] 1
15040f (1 curve)	0	2+ 5+ 47-	2+  2 5+ -2  0 -5 -4  0
Curve Equation t 15040f1 [0,-1,0,-421,4221] 1
15040g (1 curve)	0	2+ 5+ 47-	2+ -2 5+  2 -4 -1  0  4
Curve Equation t 15040g1 [0,1,0,-181,-1005] 1
15040h (1 curve)	0	2+ 5- 47+	2+  0 5- -4 -2  3  6  6
Curve Equation t 15040h1 [0,0,0,-2,-6] 1
15040i (1 curve)	0	2+ 5- 47+	2+ -1 5- -1  3  5  2  7
Curve Equation t 15040i1 [0,-1,0,-2785,57185] 1
15040j (2 curves)	0	2+ 5- 47+	2+ -1 5-  5  3 -5  0  7
Curve Equation t 15040j1 [0,-1,0,-2305,43265] 1 15040j2 [0,-1,0,-11265,-420863] 1
15040k (1 curve)	0	2+ 5- 47+	2+  2 5-  2  0  5  8  4
Curve Equation t 15040k1 [0,-1,0,86475,-549715] 1
15040l (1 curve)	0	2+ 5- 47+	2+  3 5-  1  3 -1  0  7
Curve Equation t 15040l1 [0,0,0,-3532,-80656] 1
15040m (1 curve)	0	2+ 5- 47+	2+  3 5- -5 -1 -3 -6  3
Curve Equation t 15040m1 [0,0,0,-7,-4] 1
15040n (1 curve)	2	2+ 5- 47+	2+ -3 5- -3 -5 -5 -2 -1
Curve Equation t Generators 15040n1 [0,0,0,-412,3184] 1 [-22:40:1]&[4:40:1]
15040o (1 curve)	1	2+ 5- 47-	2+  0 5-  4  2  3  6 -6
Curve Equation t Generators 15040o1 [0,0,0,-2,6] 1 [5:11:1]
15040p (1 curve)	1	2+ 5- 47-	2+  1 5-  1 -3 -3  6  1
Curve Equation t Generators 15040p1 [0,1,0,-227265,-41776225] 1 [-275:20:1]
15040q (1 curve)	1	2+ 5- 47-	2+  1 5- -1 -3 -1  4  1
Curve Equation t Generators 15040q1 [0,1,0,-65,-97] 1 [-7:8:1]
15040r (1 curve)	1	2+ 5- 47-	2+  1 5- -3  5  1  2  1
Curve Equation t Generators 15040r1 [0,1,0,-705,6815] 1 [13:4:1]
15040s (2 curves)	1	2+ 5- 47-	2+ -1 5- -1 -3  7 -6  1
Curve Equation t Generators 15040s1 [0,-1,0,-28305,1839025] 1 [-75:1880:1] 15040s2 [0,-1,0,-126065,-15527663] 1 [-171:1000:1]
15040t (1 curve)	1	2+ 5- 47-	2+ -2 5- -2  0 -3  0  4
Curve Equation t Generators 15040t1 [0,1,0,15,25] 1 [0:5:1]
15040u (1 curve)	1	2+ 5- 47-	2+ -3 5-  5  1 -3 -6 -3
Curve Equation t Generators 15040u1 [0,0,0,-7,4] 1 [0:2:1]
15040v (1 curve)	0	2- 5+ 47+	2-  1 5+ -3  5  5 -6  1
Curve Equation t 15040v1 [0,1,0,-56,50] 1
15040w (1 curve)	0	2- 5+ 47+	2- -1 5+  1  1  5  0  5
Curve Equation t 15040w1 [0,-1,0,-6241,-162559] 1
15040x (1 curve)	2	2- 5+ 47+	2- -1 5+ -1 -3  3 -6 -7
Curve Equation t Generators 15040x1 [0,-1,0,-321,-1055] 1 [-11:32:1]&[-9:32:1]
15040y (1 curve)	0	2- 5+ 47+	2-  2 5+ -2  4 -1  0 -4
Curve Equation t 15040y1 [0,-1,0,-181,1005] 1
15040z (1 curve)	0	2- 5+ 47+	2- -2 5+  2  0 -5 -4  0
Curve Equation t 15040z1 [0,1,0,-421,-4221] 1
15040ba (2 curves)	1	2- 5+ 47-	2-  1 5+  1  3 -5  6 -1
Curve Equation t Generators 15040ba1 [0,1,0,-369441,-86553505] 1 [-58451855:76288:166375] 15040ba2 [0,1,0,-406241,-68306785] 1 [-356939:6160384:1331]
15040bb (1 curve)	1	2- 5+ 47-	2- -1 5+ -1 -1  5  2 -5
Curve Equation t Generators 15040bb1 [0,-1,0,-81,-239] 1 [-5:4:1]
15040bc (1 curve)	1	2- 5+ 47-	2- -1 5+  3 -5  5 -6 -1
Curve Equation t Generators 15040bc1 [0,-1,0,-56,-50] 1 [-1:2:1]
15040bd (1 curve)	1	2- 5+ 47-	2- -3 5+  3 -1  1 -8 -5
Curve Equation t Generators 15040bd1 [0,0,0,-7468,-57392] 1 [266:4096:1]
15040be (2 curves)	1	2- 5- 47+	2-  1 5-  1  3  7 -6 -1
Curve Equation t Generators 15040be1 [0,1,0,-28305,-1839025] 1 [-95:40:1] 15040be2 [0,1,0,-126065,15527663] 1 [-79:5000:1]
15040bf (1 curve)	1	2- 5- 47+	2- -1 5-  1  3 -1  4 -1
Curve Equation t Generators 15040bf1 [0,-1,0,-65,97] 1 [-3:16:1]
15040bg (1 curve)	1	2- 5- 47+	2- -1 5- -1  3 -3  6 -1
Curve Equation t Generators 15040bg1 [0,-1,0,-227265,41776225] 1 [405:-4000:1]
15040bh (1 curve)	1	2- 5- 47+	2- -1 5-  3 -5  1  2 -1
Curve Equation t Generators 15040bh1 [0,-1,0,-705,-6815] 1 [37:128:1]
15040bi (1 curve)	1	2- 5- 47+	2-  2 5-  2  0 -3  0 -4
Curve Equation t Generators 15040bi1 [0,-1,0,15,-25] 1 [2:3:1]
15040bj (1 curve)	0	2- 5- 47-	2-  1 5-  1 -3  5  2 -7
Curve Equation t 15040bj1 [0,1,0,-2785,-57185] 1
15040bk (2 curves)	2	2- 5- 47-	2-  1 5- -5 -3 -5  0 -7
Curve Equation t Generators 15040bk1 [0,1,0,-2305,-43265] 1 [-27:4:1]&[63:256:1] 15040bk2 [0,1,0,-11265,420863] 1 [-59:940:1]&[31:320:1]
15040bl (1 curve)	0	2- 5- 47-	2- -2 5- -2  0  5  8 -4
Curve Equation t 15040bl1 [0,1,0,86475,549715] 1
15040bm (1 curve)	0	2- 5- 47-	2-  3 5-  3  5 -5 -2  1
Curve Equation t 15040bm1 [0,0,0,-412,-3184] 1
15040bn (1 curve)	2	2- 5- 47-	2- -3 5- -1 -3 -1  0 -7
Curve Equation t Generators 15040bn1 [0,0,0,-3532,80656] 1 [-38:400:1]&[12:200:1]

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