Cremona's table of elliptic curves

30222 = 2 · 3² · 23 · 73

Class	r	Atkin-Lehner	Eigenvalues
30222a (2 curves)	1	2+ 3- 23- 73+	2+ 3-  2 -4  4 -6 -2 -2
Curve Equation t Generators 30222a1 [1,-1,0,-261,-10283] 2 [27:29:1] 30222a2 [1,-1,0,-8901,-319595] 2 [-57:40:1]
30222b (4 curves)	2	2+ 3- 23- 73-	2+ 3- -2  0 -4 -6  2  4
Curve Equation t Generators 30222b1 [1,-1,0,207,1485] 2 [-5:20:1]&[6:321:8] 30222b2 [1,-1,0,-1413,16065] 4 [-39:123:1]&[-24:201:1] 30222b3 [1,-1,0,-7623,-241029] 2 [105:276:1]&[-47:132:1] 30222b4 [1,-1,0,-21123,1186839] 2 [33:708:1]&[494:2467:8]
30222c (4 curves)	2	2+ 3- 23- 73-	2+ 3- -2 -4 -4  2 -2 -4
Curve Equation t Generators 30222c1 [1,-1,0,-65358,-6414764] 2 [-1178:697:8]&[-147:85:1] 30222c2 [1,-1,0,-68238,-5816300] 4 [452:-7678:1]&[4966:108001:8] 30222c3 [1,-1,0,122202,-32592164] 2 [219:2044:1]&[2190:35843:8] 30222c4 [1,-1,0,-304758,59226700] 2 [525:-6875:1]&[-3482:85369:8]
30222d (2 curves)	1	2- 3- 23+ 73+	2- 3-  0 -2  2  6  0  8
Curve Equation t Generators 30222d1 [1,-1,1,-39470,96457533] 2 [281:-10509:1] 30222d2 [1,-1,1,-3403310,2391941949] 2 [-2067:25367:1]
30222e (2 curves)	1	2- 3- 23+ 73+	2- 3-  2  2 -2  4 -4 -4
Curve Equation t Generators 30222e1 [1,-1,1,-7889,-262015] 2 [-45:40:1] 30222e2 [1,-1,1,-17609,519473] 2 [117:166:1]
30222f (2 curves)	1	2- 3- 23+ 73+	2- 3- -2  0  6  0  0  0
Curve Equation t Generators 30222f1 [1,-1,1,-1661,-18043] 2 [-27:94:1] 30222f2 [1,-1,1,-9941,369461] 2 [85:322:1]
30222g (2 curves)	1	2- 3- 23+ 73+	2- 3-  4 -2 -2 -2 -4 -4
Curve Equation t Generators 30222g1 [1,-1,1,-5603,-408301] 2 [2142:32135:8] 30222g2 [1,-1,1,-123863,-16728181] 2 [407910:498859:1000]
30222h (2 curves)	0	2- 3- 23- 73+	2- 3-  2  2 -2  6  4  4
Curve Equation t 30222h1 [1,-1,1,-383684,91575591] 2 30222h2 [1,-1,1,-6139004,5856104103] 2
30222i (2 curves)	0	2- 3- 23- 73+	2- 3-  2  4  6  6  2 -6
Curve Equation t 30222i1 [1,-1,1,-212864,-37750125] 2 30222i2 [1,-1,1,-3405884,-2418465837] 2
30222j (2 curves)	0	2- 3- 23- 73+	2- 3- -2  2 -2  2  4  4
Curve Equation t 30222j1 [1,-1,1,-4695611,-3980008533] 2 30222j2 [1,-1,1,-75474491,-252357254229] 2
30222k (2 curves)	0	2- 3- 23- 73+	2- 3- -2  2  6  2 -4 -4
Curve Equation t 30222k1 [1,-1,1,17149,-189885] 2 30222k2 [1,-1,1,-70331,-1484589] 2
30222l (2 curves)	0	2- 3- 23- 73+	2- 3- -2  4 -2  4 -4 -4
Curve Equation t 30222l1 [1,-1,1,-162806,12717857] 2 30222l2 [1,-1,1,-1257836,-533921119] 2
30222m (2 curves)	0	2- 3- 23- 73+	2- 3- -2 -4  2  4  4  4
Curve Equation t 30222m1 [1,-1,1,-1256,-16185] 2 30222m2 [1,-1,1,-19886,-1074369] 2
30222n (2 curves)	0	2- 3- 23- 73+	2- 3-  4  2 -2  2  4  4
Curve Equation t 30222n1 [1,-1,1,-833,-831] 2 30222n2 [1,-1,1,3307,-9111] 2
30222o (2 curves)	2	2- 3- 23- 73+	2- 3- -4 -2  0 -6 -4  0
Curve Equation t Generators 30222o1 [1,-1,1,-16457,-208695] 2 [-103:672:1]&[-97:732:1] 30222o2 [1,-1,1,-154697,23292105] 2 [-453:732:1]&[191:732:1]
30222p (2 curves)	1	2- 3- 23- 73-	2- 3-  0  4 -2  4 -6 -4
Curve Equation t Generators 30222p1 [1,-1,1,-9185,297969] 2 [77:168:1] 30222p2 [1,-1,1,-38345,-2583039] 2 [-123:572:1]
30222q (2 curves)	1	2- 3- 23- 73-	2- 3-  2 -2  0 -2  6  0
Curve Equation t Generators 30222q1 [1,-1,1,-140009,-8824935] 2 [-187:3378:1] 30222q2 [1,-1,1,-1146029,466418913] 2 [1131:24254:1]
30222r (2 curves)	1	2- 3- 23- 73-	2- 3- -2  2 -4  2 -2  8
Curve Equation t Generators 30222r1 [1,-1,1,-847886,300702237] 2 [473:-2541:1] 30222r2 [1,-1,1,-13565966,19235379741] 2 [2129:-885:1]

Data from Elliptic Curve Data by J. E. Cremona.
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