Cremona's table of elliptic curves

22022 = 2 · 7 · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
22022a (2 curves)	0	2+ 7+ 11- 13+	2+  0  4 7+ 11- 13+ -4  6
Curve Equation t 22022a1 [1,-1,0,2095,-31927] 2 22022a2 [1,-1,0,-11215,-284817] 2
22022b (3 curves)	0	2+ 7+ 11- 13+	2+  1  0 7+ 11- 13+  0 -2
Curve Equation t 22022b1 [1,0,1,844,10162] 1 22022b2 [1,0,1,-23356,1380850] 1 22022b3 [1,0,1,-1895226,1004086554] 1
22022c (1 curve)	0	2+ 7+ 11- 13+	2+ -1  2 7+ 11- 13+ -7  8
Curve Equation t 22022c1 [1,1,0,-51223174,-70071608812] 1
22022d (1 curve)	1	2+ 7+ 11- 13-	2+  2 -1 7+ 11- 13-  0 -5
Curve Equation t Generators 22022d1 [1,1,0,-251198,53265524] 1 [1132:34378:1]
22022e (2 curves)	0	2+ 7- 11+ 13+	2+  0  2 7- 11+ 13+  2 -6
Curve Equation t 22022e1 [1,-1,0,-8531,-183243] 2 22022e2 [1,-1,0,-121171,-16200651] 2
22022f (1 curve)	1	2+ 7- 11- 13+	2+ -1 -2 7- 11- 13+  5  4
Curve Equation t Generators 22022f1 [1,1,0,-42231,-3345899] 1 [-114:113:1]
22022g (1 curve)	1	2+ 7- 11- 13+	2+  2  3 7- 11- 13+ -4 -3
Curve Equation t Generators 22022g1 [1,1,0,-156,-832] 1 [32:152:1]
22022h (1 curve)	1	2+ 7- 11- 13+	2+ -3 -4 7- 11- 13+  7  6
Curve Equation t Generators 22022h1 [1,-1,0,-2257459,-99262091] 1 [-730:34413:1]
22022i (4 curves)	0	2+ 7- 11- 13-	2+  0  2 7- 11- 13-  6  0
Curve Equation t 22022i1 [1,-1,0,104824,-8893120] 2 22022i2 [1,-1,0,-514696,-77907648] 4 22022i3 [1,-1,0,-3786536,2782334880] 2 22022i4 [1,-1,0,-7155176,-7362514208] 2
22022j (2 curves)	0	2+ 7- 11- 13-	2+  1  0 7- 11- 13- -3  2
Curve Equation t 22022j1 [1,0,1,-27591,-277818] 3 22022j2 [1,0,1,-1658066,-821906780] 1
22022k (1 curve)	0	2+ 7- 11- 13-	2+  3 -4 7- 11- 13-  0  6
Curve Equation t 22022k1 [1,-1,0,401,5099] 1
22022l (2 curves)	1	2- 7+ 11+ 13-	2-  0  2 7+ 11+ 13- -2  6
Curve Equation t Generators 22022l1 [1,-1,1,-1032274,246993233] 2 [-543:25711:1] 22022l2 [1,-1,1,-14661714,21607051601] 2 [-2087:208679:1]
22022m (4 curves)	1	2- 7+ 11- 13+	2-  0  2 7+ 11- 13+ -2  4
Curve Equation t Generators 22022m1 [1,-1,1,-3169,-59727] 2 [157:1736:1] 22022m2 [1,-1,1,-12849,501713] 4 [-3:736:1] 22022m3 [1,-1,1,18611,2552905] 2 [15355:315366:125] 22022m4 [1,-1,1,-199189,34266521] 2 [7905:22774:27]
22022n (2 curves)	1	2- 7+ 11- 13+	2-  1  0 7+ 11- 13+  3 -2
Curve Equation t Generators 22022n1 [1,0,0,-228,188] 1 [124:1310:1] 22022n2 [1,0,0,-13703,616265] 1 [68:-27:1]
22022o (1 curve)	2	2- 7+ 11- 13-	2- -1 -2 7+ 11- 13- -5 -4
Curve Equation t Generators 22022o1 [1,1,1,-349,2355] 1 [-13:76:1]&[-1:52:1]
22022p (1 curve)	0	2- 7+ 11- 13-	2-  2  3 7+ 11- 13-  4  3
Curve Equation t 22022p1 [1,1,1,-18939,1012793] 1
22022q (1 curve)	0	2- 7+ 11- 13-	2-  3  0 7+ 11- 13-  4 -2
Curve Equation t 22022q1 [1,-1,1,-2685,-1168571] 1
22022r (1 curve)	2	2- 7+ 11- 13-	2- -3 -4 7+ 11- 13- -7 -6
Curve Equation t Generators 22022r1 [1,-1,1,-18657,79665] 1 [-53210:-932853:1000]&[-103:1000:1]
22022s (2 curves)	0	2- 7- 11- 13+	2-  0  2 7- 11- 13+  4  0
Curve Equation t 22022s1 [1,-1,1,-83634,36894641] 2 22022s2 [1,-1,1,-2251954,1297989553] 2
22022t (1 curve)	0	2- 7- 11- 13+	2-  1  4 7- 11- 13+ -4 -2
Curve Equation t 22022t1 [1,0,0,-557631,-160602727] 1
22022u (1 curve)	0	2- 7- 11- 13+	2-  2 -1 7- 11- 13+  0  5
Curve Equation t 22022u1 [1,1,1,-2076,-40963] 1
22022v (1 curve)	1	2- 7- 11- 13-	2- -1  2 7- 11- 13-  7 -8
Curve Equation t Generators 22022v1 [1,1,1,-423332,52453413] 1 [-579:10481:1]

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

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