Cremona's table of elliptic curves

12978 = 2 · 3² · 7 · 103

Class	r	Atkin-Lehner	Eigenvalues
12978a (1 curve)	2	2+ 3+ 7- 103+	2+ 3+ -1 7- -2 -7 -4 -6
Curve Equation t Generators 12978a1 [1,-1,0,105,-931] 1 [7:7:1]&[14:49:1]
12978b (1 curve)	1	2+ 3+ 7- 103-	2+ 3+  1 7- -2  1  0 -6
Curve Equation t Generators 12978b1 [1,-1,0,-238569639,1418368692797] 1 [8918:-4431:1]
12978c (1 curve)	1	2+ 3+ 7- 103-	2+ 3+ -4 7-  3 -4  0 -1
Curve Equation t Generators 12978c1 [1,-1,0,6,-26] 1 [5:8:1]
12978d (1 curve)	0	2+ 3- 7+ 103+	2+ 3-  3 7+  0  3  6  2
Curve Equation t 12978d1 [1,-1,0,-2448,-145152] 1
12978e (2 curves)	1	2+ 3- 7+ 103-	2+ 3-  0 7+ -2 -2  2 -4
Curve Equation t Generators 12978e1 [1,-1,0,-162,-4460] 2 [27:88:1] 12978e2 [1,-1,0,-5202,-142556] 2 [-40:38:1]
12978f (2 curves)	1	2+ 3- 7+ 103-	2+ 3-  2 7+  4  0 -8  2
Curve Equation t Generators 12978f1 [1,-1,0,-1360476,-604023728] 2 [-45772:129491:64] 12978f2 [1,-1,0,-254556,-1558432688] 2 [1179533932:-31047728561:778688]
12978g (2 curves)	1	2+ 3- 7+ 103-	2+ 3-  2 7+ -4 -4  4  6
Curve Equation t Generators 12978g1 [1,-1,0,-5166,-78368] 2 [-19:122:1] 12978g2 [1,-1,0,16704,-581378] 2 [1439:54068:1]
12978h (4 curves)	1	2+ 3- 7+ 103-	2+ 3- -2 7+  0  2  2 -8
Curve Equation t Generators 12978h1 [1,-1,0,-243,805] 2 [-13:47:1] 12978h2 [1,-1,0,-1863,-29975] 4 [-25:35:1] 12978h3 [1,-1,0,-29673,-1959989] 2 [207:754:1] 12978h4 [1,-1,0,27,-89321] 2 [101:917:1]
12978i (1 curve)	1	2+ 3- 7+ 103-	2+ 3- -3 7+  4 -5  2  2
Curve Equation t Generators 12978i1 [1,-1,0,-8989911,-10484661407] 1 [449468:301102313:1]
12978j (1 curve)	1	2+ 3- 7+ 103-	2+ 3-  4 7+ -3  2  2 -5
Curve Equation t Generators 12978j1 [1,-1,0,30690,6134548] 1 [899:27113:1]
12978k (2 curves)	1	2+ 3- 7- 103+	2+ 3-  0 7-  2 -2 -6 -4
Curve Equation t Generators 12978k1 [1,-1,0,8703,-558275] 2 [897:26540:1] 12978k2 [1,-1,0,-71937,-6154691] 2 [-190:887:1]
12978l (2 curves)	1	2+ 3- 7- 103+	2+ 3-  2 7- -2 -4  2 -6
Curve Equation t Generators 12978l1 [1,-1,0,-1671,-18883] 2 [-29:82:1] 12978l2 [1,-1,0,-24711,-1488835] 2 [11055:198155:27]
12978m (2 curves)	1	2+ 3- 7- 103+	2+ 3- -2 7- -6  0 -2  6
Curve Equation t Generators 12978m1 [1,-1,0,-6678,211680] 2 [21:273:1] 12978m2 [1,-1,0,-7488,157734] 2 [15:213:1]
12978n (2 curves)	0	2+ 3- 7- 103-	2+ 3-  2 7-  2  0  6 -2
Curve Equation t 12978n1 [1,-1,0,-351,-243] 2 12978n2 [1,-1,0,-3591,83349] 2
12978o (2 curves)	0	2+ 3- 7- 103-	2+ 3-  2 7-  2 -2  0  0
Curve Equation t 12978o1 [1,-1,0,-319401,-69336243] 2 12978o2 [1,-1,0,-241641,-104001651] 2
12978p (2 curves)	0	2+ 3- 7- 103-	2+ 3-  2 7- -6 -4 -6  2
Curve Equation t 12978p1 [1,-1,0,-51342921,138599397517] 2 12978p2 [1,-1,0,-816617961,8982270814765] 2
12978q (1 curve)	2	2+ 3- 7- 103-	2+ 3- -3 7- -4 -1  2 -6
Curve Equation t Generators 12978q1 [1,-1,0,-351,2641] 1 [110:-1189:1]&[-4:65:1]
12978r (1 curve)	1	2- 3+ 7- 103+	2- 3+  1 7-  2 -7  4 -6
Curve Equation t Generators 12978r1 [1,-1,1,943,24193] 1 [43:356:1]
12978s (1 curve)	0	2- 3+ 7- 103-	2- 3+ -1 7-  2  1  0 -6
Curve Equation t 12978s1 [1,-1,1,-26507738,-52523337895] 1
12978t (1 curve)	0	2- 3+ 7- 103-	2- 3+  4 7- -3 -4  0 -1
Curve Equation t 12978t1 [1,-1,1,52,649] 1
12978u (1 curve)	1	2- 3- 7+ 103+	2- 3-  0 7+ -3  2  2 -1
Curve Equation t Generators 12978u1 [1,-1,1,-1265,-33015] 1 [125:1260:1]
12978v (1 curve)	0	2- 3- 7+ 103-	2- 3- -2 7+ -4 -1  0 -4
Curve Equation t 12978v1 [1,-1,1,-131,2517] 1
12978w (2 curves)	0	2- 3- 7+ 103-	2- 3-  4 7+  2  2  6  8
Curve Equation t 12978w1 [1,-1,1,-5198,-236451] 2 12978w2 [1,-1,1,-97358,-11664291] 2
12978x (1 curve)	0	2- 3- 7- 103+	2- 3-  2 7-  4  5 -4  0
Curve Equation t 12978x1 [1,-1,1,16,91] 1
12978y (2 curves)	1	2- 3- 7- 103-	2- 3-  2 7- -4 -2  6  0
Curve Equation t Generators 12978y1 [1,-1,1,-149,-979] 2 [33:154:1] 12978y2 [1,-1,1,-2669,-52387] 2 [61:64:1]
12978z (1 curve)	1	2- 3- 7- 103-	2- 3- -4 7- -1 -2 -6  3
Curve Equation t Generators 12978z1 [1,-1,1,-1478957,692658965] 1 [735:-1880:1]

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