Cremona's table of elliptic curves

22720 = 2⁶ · 5 · 71

Class	r	Atkin-Lehner	Eigenvalues
22720a (1 curve)	1	2+ 5+ 71+	2+  1 5+ -3  6  3  0  1
Curve Equation t Generators 22720a1 [0,1,0,-4481,113375] 1 [11:256:1]
22720b (2 curves)	1	2+ 5+ 71+	2+  2 5+  0  4  4 -4  4
Curve Equation t Generators 22720b1 [0,-1,0,-136,-414] 2 [-1893540:1136539:216000] 22720b2 [0,-1,0,-761,7961] 2 [1655:696:125]
22720c (2 curves)	1	2+ 5+ 71+	2+  2 5+ -1  0 -5  6  1
Curve Equation t Generators 22720c1 [0,-1,0,19,-25] 1 [102:251:27] 22720c2 [0,-1,0,-381,-2785] 1 [4049346:84490867:9261]
22720d (2 curves)	1	2+ 5+ 71+	2+ -2 5+ -4  4  4 -8 -8
Curve Equation t Generators 22720d1 [0,1,0,-101,-341] 2 [-5:8:1] 22720d2 [0,1,0,-1521,-23345] 2 [57:280:1]
22720e (1 curve)	1	2+ 5+ 71+	2+ -3 5+ -1  2 -1  2 -1
Curve Equation t Generators 22720e1 [0,0,0,-67468,1754608] 1 [-216:2500:1]
22720f (1 curve)	0	2+ 5+ 71-	2+  1 5+  1  2  1 -2  7
Curve Equation t 22720f1 [0,1,0,-1761,-24961] 1
22720g (2 curves)	0	2+ 5+ 71-	2+  1 5+  3 -2  1  8  5
Curve Equation t 22720g1 [0,1,0,-70721,6216479] 1 22720g2 [0,1,0,-11606721,-15223789921] 1
22720h (2 curves)	0	2+ 5+ 71-	2+ -2 5+  0 -4  4 -4 -4
Curve Equation t 22720h1 [0,1,0,-136,414] 2 22720h2 [0,1,0,-761,-7961] 2
22720i (1 curve)	0	2+ 5+ 71-	2+ -2 5+  3  4  1  2 -1
Curve Equation t 22720i1 [0,1,0,-21,115] 1
22720j (2 curves)	2	2+ 5- 71+	2+  0 5- -2  0 -4 -4 -4
Curve Equation t Generators 22720j1 [0,0,0,-104072,12922536] 2 [-343:2875:1]&[182:100:1] 22720j2 [0,0,0,-102652,13292304] 2 [-322:3600:1]&[78:2400:1]
22720k (1 curve)	0	2+ 5- 71+	2+  1 5-  3 -2 -5 -2 -1
Curve Equation t 22720k1 [0,1,0,-6443585,-6297782017] 1
22720l (1 curve)	0	2+ 5- 71+	2+  1 5-  5  2  3 -4 -7
Curve Equation t 22720l1 [0,1,0,-5665,-163937] 1
22720m (1 curve)	2	2+ 5- 71+	2+ -1 5- -3 -2  1 -4 -5
Curve Equation t Generators 22720m1 [0,-1,0,-1505,21025] 1 [-40:125:1]&[-15:200:1]
22720n (1 curve)	0	2+ 5- 71+	2+  2 5-  1  0  7  6 -5
Curve Equation t 22720n1 [0,-1,0,-95,-943] 1
22720o (1 curve)	0	2+ 5- 71+	2+  2 5- -1 -4  5  2  7
Curve Equation t 22720o1 [0,-1,0,-55,177] 1
22720p (1 curve)	0	2+ 5- 71+	2+  2 5-  3  4  1  2  7
Curve Equation t 22720p1 [0,-1,0,-995015,-382376863] 1
22720q (1 curve)	2	2+ 5- 71+	2+ -3 5-  1 -6 -1 -4 -7
Curve Equation t Generators 22720q1 [0,0,0,-172,-464] 1 [-10:16:1]&[-8:20:1]
22720r (2 curves)	1	2+ 5- 71-	2+  0 5- -2 -4 -4  0  4
Curve Equation t Generators 22720r1 [0,0,0,68,144] 2 [0:12:1] 22720r2 [0,0,0,-332,1264] 2 [40:228:1]
22720s (2 curves)	1	2+ 5- 71-	2+  0 5-  4  2  0  2  0
Curve Equation t Generators 22720s1 [0,0,0,-172,2736] 2 [-8:60:1] 22720s2 [0,0,0,-4172,103536] 2 [72:420:1]
22720t (1 curve)	1	2+ 5- 71-	2+  1 5- -1  2  1 -4  1
Curve Equation t Generators 22720t1 [0,1,0,-26625,1620575] 1 [1195:40960:1]
22720u (1 curve)	1	2+ 5- 71-	2+  1 5-  3  2  1 -4  5
Curve Equation t Generators 22720u1 [0,1,0,-1505,-21025] 1 [-25:40:1]
22720v (1 curve)	1	2+ 5- 71-	2+ -1 5- -3  2 -5 -2  1
Curve Equation t Generators 22720v1 [0,-1,0,-6443585,6297782017] 1 [1464:125:1]
22720w (1 curve)	1	2+ 5- 71-	2+ -1 5- -5 -2  3 -4  7
Curve Equation t Generators 22720w1 [0,-1,0,-5665,163937] 1 [209:2840:1]
22720x (1 curve)	1	2+ 5- 71-	2+ -2 5-  1  4  5  2 -7
Curve Equation t Generators 22720x1 [0,1,0,-55,-177] 1 [426:1511:27]
22720y (1 curve)	1	2+ 5- 71-	2+ -2 5- -1  0  7  6  5
Curve Equation t Generators 22720y1 [0,1,0,-95,943] 1 [6:25:1]
22720z (1 curve)	1	2+ 5- 71-	2+ -2 5- -3 -4  1  2 -7
Curve Equation t Generators 22720z1 [0,1,0,-995015,382376863] 1 [1446:44375:1]
22720ba (1 curve)	2	2- 5+ 71+	2- -1 5+ -1 -2  1 -2 -7
Curve Equation t Generators 22720ba1 [0,-1,0,-1761,24961] 1 [-9:200:1]&[13:64:1]
22720bb (2 curves)	0	2- 5+ 71+	2- -1 5+ -3  2  1  8 -5
Curve Equation t 22720bb1 [0,-1,0,-70721,-6216479] 1 22720bb2 [0,-1,0,-11606721,15223789921] 1
22720bc (1 curve)	0	2- 5+ 71+	2-  2 5+ -3 -4  1  2  1
Curve Equation t 22720bc1 [0,-1,0,-21,-115] 1
22720bd (1 curve)	1	2- 5+ 71-	2- -1 5+  3 -6  3  0 -1
Curve Equation t Generators 22720bd1 [0,-1,0,-4481,-113375] 1 [-37:20:1]
22720be (2 curves)	1	2- 5+ 71-	2-  2 5+  4 -4  4 -8  8
Curve Equation t Generators 22720be1 [0,-1,0,-101,341] 2 [291:532:27] 22720be2 [0,-1,0,-1521,23345] 2 [41:168:1]
22720bf (2 curves)	1	2- 5+ 71-	2- -2 5+  1  0 -5  6 -1
Curve Equation t Generators 22720bf1 [0,1,0,19,25] 1 [0:5:1] 22720bf2 [0,1,0,-381,2785] 1 [-16:71:1]
22720bg (1 curve)	1	2- 5+ 71-	2-  3 5+  1 -2 -1  2  1
Curve Equation t Generators 22720bg1 [0,0,0,-67468,-1754608] 1 [24582:710000:27]
22720bh (2 curves)	1	2- 5- 71+	2-  0 5-  2  4 -4  0 -4
Curve Equation t Generators 22720bh1 [0,0,0,68,-144] 2 [20:96:1] 22720bh2 [0,0,0,-332,-1264] 2 [660:1952:27]
22720bi (2 curves)	1	2- 5- 71+	2-  0 5- -4 -2  0  2  0
Curve Equation t Generators 22720bi1 [0,0,0,-172,-2736] 2 [28:120:1] 22720bi2 [0,0,0,-4172,-103536] 2 [108:840:1]
22720bj (1 curve)	1	2- 5- 71+	2- -1 5-  1 -2  1 -4 -1
Curve Equation t Generators 22720bj1 [0,-1,0,-26625,-1620575] 1 [-105:80:1]
22720bk (2 curves)	0	2- 5- 71-	2-  0 5-  2  0 -4 -4  4
Curve Equation t 22720bk1 [0,0,0,-104072,-12922536] 2 22720bk2 [0,0,0,-102652,-13292304] 2
22720bl (1 curve)	0	2- 5- 71-	2-  3 5- -1  6 -1 -4  7
Curve Equation t 22720bl1 [0,0,0,-172,464] 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