Cremona's table of elliptic curves

74214 = 2 · 3² · 7 · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
74214a (2 curves)	2	2+ 3+ 7+ 19- 31+	2+ 3+ -2 7+  4 -2 -4 19-
Curve Equation t Generators 74214a1 [1,-1,0,-1743,-3475] 2 [-29:163:1]&[47:106:1] 74214a2 [1,-1,0,6897,-32851] 2 [38:-551:1]&[59:730:1]
74214b (2 curves)	1	2+ 3+ 7- 19- 31+	2+ 3+  2 7- -4  2  2 19-
Curve Equation t Generators 74214b1 [1,-1,0,-1041,16397] 2 [26:67:1] 74214b2 [1,-1,0,-17781,917009] 2 [70:73:1]
74214c (2 curves)	2	2+ 3- 7+ 19+ 31+	2+ 3- -2 7+ -4 -2  0 19+
Curve Equation t Generators 74214c1 [1,-1,0,-6378,198260] 2 [-29:613:1]&[20:270:1] 74214c2 [1,-1,0,-102138,12589604] 2 [184:-110:1]&[-32:3994:1]
74214d (2 curves)	1	2+ 3- 7+ 19+ 31-	2+ 3-  0 7+ -6  4 -8 19+
Curve Equation t Generators 74214d1 [1,-1,0,-13000212,17612808912] 2 [398:1041835:8] 74214d2 [1,-1,0,-206616852,1143183783888] 2 [8328:300:1]
74214e (1 curve)	1	2+ 3- 7+ 19+ 31-	2+ 3-  1 7+  2  4 -6 19+
Curve Equation t Generators 74214e1 [1,-1,0,-4194,-103748] 1 [274131:2371628:2197]
74214f (4 curves)	1	2+ 3- 7+ 19- 31+	2+ 3-  2 7+ -4 -2 -2 19-
Curve Equation t Generators 74214f1 [1,-1,0,-55356,9614672] 2 [179:2238:1] 74214f2 [1,-1,0,-1095036,441081872] 4 [-1151:13828:1] 74214f3 [1,-1,0,-1307076,258345800] 2 [-1175:13660:1] 74214f4 [1,-1,0,-17517876,28225242584] 2 [302095:-151357:125]
74214g (2 curves)	1	2+ 3- 7- 19+ 31+	2+ 3-  0 7- -2 -2  6 19+
Curve Equation t Generators 74214g1 [1,-1,0,-14112,-637952] 2 [-67:92:1] 74214g2 [1,-1,0,-5472,-1417280] 2 [152:1040:1]
74214h (2 curves)	1	2+ 3- 7- 19+ 31+	2+ 3-  0 7-  4  6 -6 19+
Curve Equation t Generators 74214h1 [1,-1,0,1638,68404] 2 [35:392:1] 74214h2 [1,-1,0,-18522,870772] 2 [-4:974:1]
74214i (1 curve)	1	2+ 3- 7- 19+ 31+	2+ 3-  3 7- -2  0 -2 19+
Curve Equation t Generators 74214i1 [1,-1,0,18972,12855888] 1 [211:5015:1]
74214j (4 curves)	2	2+ 3- 7- 19+ 31-	2+ 3- -2 7-  0 -6 -6 19+
Curve Equation t Generators 74214j1 [1,-1,0,-94788,-11186096] 2 [600:11852:1]&[-177:239:1] 74214j2 [1,-1,0,-130068,-2076800] 4 [-259:3896:1]&[-28:1256:1] 74214j3 [1,-1,0,516312,-16943540] 2 [273:11876:1]&[1172:46286:1] 74214j4 [1,-1,0,-1340928,595361524] 2 [-1096:27890:1]&[158:19604:1]
74214k (2 curves)	2	2+ 3- 7- 19- 31+	2+ 3-  0 7- -2 -2 -2 19-
Curve Equation t Generators 74214k1 [1,-1,0,-11772,344704] 2 [761:-21157:1]&[-43:899:1] 74214k2 [1,-1,0,31968,2278012] 2 [-49:794:1]&[84:2314:1]
74214l (1 curve)	0	2+ 3- 7- 19- 31+	2+ 3- -1 7-  2  4 -6 19-
Curve Equation t 74214l1 [1,-1,0,-14145,827837] 1
74214m (4 curves)	0	2+ 3- 7- 19- 31+	2+ 3-  2 7- -4 -2  6 19-
Curve Equation t 74214m1 [1,-1,0,-10395546,-12921672988] 2 74214m2 [1,-1,0,-166412526,-826238189728] 4 74214m3 [1,-1,0,-166496316,-825364444366] 2 74214m4 [1,-1,0,-2662600416,-52881241210210] 2
74214n (2 curves)	1	2- 3+ 7+ 19- 31+	2- 3+  2 7+ -4 -2  4 19-
Curve Equation t Generators 74214n1 [1,-1,1,-194,193] 2 [-11:35:1] 74214n2 [1,-1,1,766,961] 2 [13:-121:1]
74214o (2 curves)	0	2- 3+ 7- 19- 31+	2- 3+ -2 7-  4  2 -2 19-
Curve Equation t 74214o1 [1,-1,1,-116,-569] 2 74214o2 [1,-1,1,-1976,-33305] 2
74214p (4 curves)	1	2- 3- 7+ 19+ 31+	2- 3- -2 7+ -4  6  6 19+
Curve Equation t Generators 74214p1 [1,-1,1,-217481,-26723959] 4 [843:19288:1] 74214p2 [1,-1,1,-3166601,-2167785079] 4 [-1023:1024:1] 74214p3 [1,-1,1,-2855561,-2610830455] 2 [9345:882304:1] 74214p4 [1,-1,1,-50663561,-138788040823] 2 [10653:722944:1]
74214q (4 curves)	0	2- 3- 7+ 19+ 31-	2- 3-  2 7+  4  2 -2 19+
Curve Equation t 74214q1 [1,-1,1,3946,-1563739] 2 74214q2 [1,-1,1,-180374,-28548187] 4 74214q3 [1,-1,1,-448214,76230821] 2 74214q4 [1,-1,1,-2861654,-1862543707] 2
74214r (2 curves)	0	2- 3- 7+ 19+ 31-	2- 3- -2 7+  2  4  0 19+
Curve Equation t 74214r1 [1,-1,1,-93461,-109132819] 2 74214r2 [1,-1,1,-4044821,-3110585875] 2
74214s (2 curves)	0	2- 3- 7+ 19- 31+	2- 3-  4 7+  0 -2  6 19-
Curve Equation t 74214s1 [1,-1,1,247,249] 2 74214s2 [1,-1,1,-1013,2769] 2
74214t (2 curves)	1	2- 3- 7+ 19- 31-	2- 3-  2 7+  2 -4  4 19-
Curve Equation t Generators 74214t1 [1,-1,1,-71024,-28137517] 2 [457:5661:1] 74214t2 [1,-1,1,-1890464,-997535149] 2 [5245:362557:1]
74214u (2 curves)	1	2- 3- 7+ 19- 31-	2- 3-  2 7+  4 -6  4 19-
Curve Equation t Generators 74214u1 [1,-1,1,2641,-90457] 2 [342:2345:8] 74214u2 [1,-1,1,-21299,-981025] 2 [2774:44729:8]
74214v (2 curves)	1	2- 3- 7- 19+ 31-	2- 3-  0 7-  0 -2  6 19+
Curve Equation t Generators 74214v1 [1,-1,1,-1053365,416822861] 2 [579:-1172:1] 74214v2 [1,-1,1,-16858805,26647531085] 2 [2385:-2390:1]
74214w (2 curves)	1	2- 3- 7- 19- 31+	2- 3- -2 7- -2 -4  4 19-
Curve Equation t Generators 74214w1 [1,-1,1,-19406,1437661] 2 [-23:1379:1] 74214w2 [1,-1,1,-341966,77045725] 2 [-107:10655:1]

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