Cremona's table of elliptic curves

18130 = 2 · 5 · 7² · 37

Class	r	Atkin-Lehner	Eigenvalues
18130a (1 curve)	0	2+ 5+ 7- 37+	2+ -2 5+ 7-  3  0 -3  6
Curve Equation t 18130a1 [1,0,1,611,8376] 1
18130b (1 curve)	1	2+ 5+ 7- 37-	2+  1 5+ 7-  2  1  2 -5
Curve Equation t Generators 18130b1 [1,0,1,-19,46] 1 [-1:8:1]
18130c (1 curve)	1	2+ 5+ 7- 37-	2+ -1 5+ 7- -4 -4  2  0
Curve Equation t Generators 18130c1 [1,1,0,-272563,-55549843] 1 [1078:29541:1]
18130d (1 curve)	1	2+ 5+ 7- 37-	2+ -1 5+ 7-  6  1  2  5
Curve Equation t Generators 18130d1 [1,1,0,25252,3238852] 1 [-18:1676:1]
18130e (3 curves)	1	2+ 5+ 7- 37-	2+  2 5+ 7-  6 -5  0 -2
Curve Equation t Generators 18130e1 [1,1,0,-137323,-19756323] 1 [2724147:164339389:729] 18130e2 [1,1,0,383302,-104899948] 1 [19083:605972:27] 18130e3 [1,1,0,-3741273,4489178597] 1 [1459452:75237473:1728]
18130f (1 curve)	1	2+ 5- 7+ 37-	2+  1 5- 7+ -4  4 -2  0
Curve Equation t Generators 18130f1 [1,0,1,-5563,161158] 1 [47:40:1]
18130g (1 curve)	1	2+ 5- 7+ 37-	2+  1 5- 7+  6 -1 -2 -5
Curve Equation t Generators 18130g1 [1,0,1,1237322,-1107214244] 1 [24455:3815897:1]
18130h (1 curve)	1	2+ 5- 7+ 37-	2+ -1 5- 7+  2 -1 -2  5
Curve Equation t Generators 18130h1 [1,1,0,-907,-16771] 1 [94:813:1]
18130i (4 curves)	1	2+ 5- 7- 37+	2+  0 5- 7- -4 -2  2  4
Curve Equation t Generators 18130i1 [1,-1,0,-254,-1212] 2 [24:66:1] 18130i2 [1,-1,0,-1234,15840] 4 [9:69:1] 18130i3 [1,-1,0,-19364,1041998] 2 [37:594:1] 18130i4 [1,-1,0,1216,69250] 2 [79:769:1]
18130j (1 curve)	1	2+ 5- 7- 37+	2+ -2 5- 7-  2 -7  4  6
Curve Equation t Generators 18130j1 [1,0,1,-173,-26904] 1 [32:8:1]
18130k (2 curves)	1	2+ 5- 7- 37+	2+ -2 5- 7- -4 -6  0  0
Curve Equation t Generators 18130k1 [1,0,1,3257,-37194] 2 [25:232:1] 18130k2 [1,0,1,-14873,-320022] 2 [-66:645:1]
18130l (3 curves)	0	2+ 5- 7- 37-	2+  2 5- 7-  3  4 -3 -2
Curve Equation t 18130l1 [1,1,0,-2622,-52786] 1 18130l2 [1,1,0,-907,-118299] 1 18130l3 [1,1,0,8158,3165044] 1
18130m (4 curves)	0	2- 5+ 7- 37-	2-  2 5+ 7-  0 -2 -6 -2
Curve Equation t 18130m1 [1,1,1,-3676,45373] 2 18130m2 [1,1,1,12004,346429] 2 18130m3 [1,1,1,-258476,50472253] 2 18130m4 [1,1,1,-257496,50875229] 2
18130n (1 curve)	0	2- 5+ 7- 37-	2-  2 5+ 7-  4  1 -6  8
Curve Equation t 18130n1 [1,1,1,-1156,-15611] 1
18130o (2 curves)	0	2- 5+ 7- 37-	2-  2 5+ 7-  4  6  4 -2
Curve Equation t 18130o1 [1,1,1,-201391,110151313] 2 18130o2 [1,1,1,-4897061,4161575389] 2
18130p (2 curves)	2	2- 5+ 7- 37-	2- -2 5+ 7- -4 -2 -4 -8
Curve Equation t Generators 18130p1 [1,0,0,-4656,137920] 2 [-62:466:1]&[-52:516:1] 18130p2 [1,0,0,-77176,8245656] 2 [-234:3792:1]&[74:1678:1]
18130q (1 curve)	0	2- 5+ 7- 37-	2- -2 5+ 7-  6  3 -4  2
Curve Equation t 18130q1 [1,0,0,-11876482556,-512667049159280] 1
18130r (1 curve)	0	2- 5- 7- 37+	2-  2 5- 7-  2  1  0  2
Curve Equation t 18130r1 [1,1,1,-295,4507] 1
18130s (1 curve)	1	2- 5- 7- 37-	2- -2 5- 7-  4 -1  6 -8
Curve Equation t Generators 18130s1 [1,0,0,-56645,5184577] 1 [102:635:1]
18130t (2 curves)	1	2- 5- 7- 37-	2- -2 5- 7-  4 -6 -4  2
Curve Equation t Generators 18130t1 [1,0,0,-4110,-321728] 2 [384:7208:1] 18130t2 [1,0,0,-99940,-12147150] 2 [3590:44455:8]

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