Cremona's table of elliptic curves

31080 = 2³ · 3 · 5 · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
31080a (4 curves)	0	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+  4 -6 -2  4
Curve Equation t 31080a1 [0,-1,0,569,2356] 2 31080a2 [0,-1,0,-2556,22356] 4 31080a3 [0,-1,0,-21056,-1154244] 2 31080a4 [0,-1,0,-34056,2428956] 4
31080b (2 curves)	2	2+ 3+ 5+ 7- 37+	2+ 3+ 5+ 7- -4 -4 -2  2
Curve Equation t Generators 31080b1 [0,-1,0,-651,2376] 2 [-25:49:1]&[-24:60:1] 31080b2 [0,-1,0,-5796,-166380] 2 [-46:28:1]&[101:518:1]
31080c (4 curves)	1	2+ 3+ 5+ 7- 37-	2+ 3+ 5+ 7-  4  2 -2  4
Curve Equation t Generators 31080c1 [0,-1,0,1364,86836] 2 [-6:280:1] 31080c2 [0,-1,0,-23136,1272636] 4 [169:1470:1] 31080c3 [0,-1,0,-74936,-6373044] 2 [9003:63910:27] 31080c4 [0,-1,0,-363336,84417516] 2 [126007:212610:343]
31080d (2 curves)	0	2+ 3+ 5- 7+ 37+	2+ 3+ 5- 7+  6  2  2 -6
Curve Equation t 31080d1 [0,-1,0,-357680,123508572] 2 31080d2 [0,-1,0,-6482680,6353858572] 2
31080e (2 curves)	1	2+ 3+ 5- 7- 37+	2+ 3+ 5- 7- -2  6 -6  6
Curve Equation t Generators 31080e1 [0,-1,0,-31680,2258172] 2 [74:560:1] 31080e2 [0,-1,0,-511880,141132012] 2 [417:126:1]
31080f (2 curves)	1	2+ 3+ 5- 7- 37+	2+ 3+ 5- 7-  4  0 -6  6
Curve Equation t Generators 31080f1 [0,-1,0,-46235,-3725208] 2 [-113:209:1] 31080f2 [0,-1,0,-735140,-242361900] 2 [3014330:131109500:1331]
31080g (4 curves)	0	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7- -4  6  2  0
Curve Equation t 31080g1 [0,-1,0,-225575,41310300] 4 31080g2 [0,-1,0,-237580,36681172] 4 31080g3 [0,-1,0,476840,214143100] 4 31080g4 [0,-1,0,-1144080,-437237028] 2
31080h (1 curve)	0	2+ 3- 5+ 7+ 37+	2+ 3- 5+ 7+  4 -1  2 -8
Curve Equation t 31080h1 [0,1,0,-106786856,424714460400] 1
31080i (4 curves)	0	2+ 3- 5+ 7+ 37+	2+ 3- 5+ 7+  4  2  2  4
Curve Equation t 31080i1 [0,1,0,324,0] 2 31080i2 [0,1,0,-1296,-1296] 4 31080i3 [0,1,0,-14616,-683280] 2 31080i4 [0,1,0,-13896,623664] 2
31080j (4 curves)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+  0  2 -2  0
Curve Equation t Generators 31080j1 [0,1,0,-2031,-30906] 2 [114:1110:1] 31080j2 [0,1,0,-8876,289440] 4 [-8:600:1] 31080j3 [0,1,0,11104,1424304] 2 [115:2058:1] 31080j4 [0,1,0,-138376,19766240] 2 [-28:4860:1]
31080k (2 curves)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7-  0  0  6 -6
Curve Equation t Generators 31080k1 [0,1,0,-371,-2646] 2 [-11:15:1] 31080k2 [0,1,0,-1316,15120] 2 [52:300:1]
31080l (4 curves)	0	2+ 3- 5+ 7- 37-	2+ 3- 5+ 7-  4 -2  6  0
Curve Equation t 31080l1 [0,1,0,-14911,297110] 4 31080l2 [0,1,0,-122956,-16428256] 4 31080l3 [0,1,0,-14176,-44362960] 2 31080l4 [0,1,0,-1960456,-1057188256] 2
31080m (2 curves)	1	2+ 3- 5- 7+ 37+	2+ 3- 5- 7+  0  0  2  2
Curve Equation t Generators 31080m1 [0,1,0,-10795,-57982] 2 [-79:555:1] 31080m2 [0,1,0,-126420,-17309232] 2 [-204:180:1]
31080n (2 curves)	1	2+ 3- 5- 7+ 37+	2+ 3- 5- 7+  0  0  2  6
Curve Equation t Generators 31080n1 [0,1,0,240,1008] 2 [3:42:1] 31080n2 [0,1,0,-1160,7728] 2 [43:198:1]
31080o (1 curve)	2	2+ 3- 5- 7+ 37-	2+ 3- 5- 7+ -6 -5 -6 -8
Curve Equation t Generators 31080o1 [0,1,0,-6305,208803] 1 [31:210:1]&[-74:525:1]
31080p (1 curve)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7-  5  2 -3  2
Curve Equation t 31080p1 [0,1,0,-4612840,3993394400] 1
31080q (4 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  0 -2  2 -4
Curve Equation t Generators 31080q1 [0,1,0,-11655,480438] 2 [78:228:1] 31080q2 [0,1,0,-11660,480000] 4 [-20:840:1] 31080q3 [0,1,0,-7960,793760] 4 [203:2754:1] 31080q4 [0,1,0,-15440,138288] 2 [-92:888:1]
31080r (2 curves)	0	2- 3+ 5+ 7+ 37+	2- 3+ 5+ 7+  0  4 -2 -6
Curve Equation t 31080r1 [0,-1,0,-823851,-287545524] 2 31080r2 [0,-1,0,-828476,-284148924] 2
31080s (2 curves)	0	2- 3+ 5+ 7+ 37+	2- 3+ 5+ 7+  6  4 -2  0
Curve Equation t 31080s1 [0,-1,0,-2836,325540] 2 31080s2 [0,-1,0,-90336,10440540] 2
31080t (1 curve)	1	2- 3+ 5+ 7+ 37-	2- 3+ 5+ 7+  0  7  2 -4
Curve Equation t Generators 31080t1 [0,-1,0,3584,187180] 1 [121:1542:1]
31080u (1 curve)	1	2- 3+ 5+ 7+ 37-	2- 3+ 5+ 7+ -6 -5  2  8
Curve Equation t Generators 31080u1 [0,-1,0,-357201,82289925] 1 [356:343:1]
31080v (4 curves)	0	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7- -4  2 -2  0
Curve Equation t 31080v1 [0,-1,0,-854769391,9619099582480] 4 31080v2 [0,-1,0,-854769636,9619093792836] 4 31080v3 [0,-1,0,-847682136,9786441007836] 2 31080v4 [0,-1,0,-861861056,9451376036700] 2
31080w (2 curves)	1	2- 3+ 5- 7+ 37+	2- 3+ 5- 7+  0  0 -6  6
Curve Equation t Generators 31080w1 [0,-1,0,-315,2100] 2 [5:25:1] 31080w2 [0,-1,0,-4940,135300] 2 [40:10:1]
31080x (1 curve)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+ -1  6 -5 -2
Curve Equation t Generators 31080x1 [0,1,0,-11594416,-19573253680] 1 [44984:9512556:1]
31080y (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -3  6 -1 -6
Curve Equation t Generators 31080y1 [0,1,0,-336,-5040] 1 [24:36:1]
31080z (2 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -4 -4  2 -2
Curve Equation t Generators 31080z1 [0,1,0,-2296,43904] 2 [7:168:1] 31080z2 [0,1,0,-37296,2759904] 2 [3189:3464:27]
31080ba (2 curves)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+  4  4  2 -2
Curve Equation t 31080ba1 [0,1,0,-422675,-105431250] 2 31080ba2 [0,1,0,-6754300,-6758702800] 2
31080bb (1 curve)	1	2- 3- 5- 7+ 37-	2- 3- 5- 7+ -3  2  5  6
Curve Equation t Generators 31080bb1 [0,1,0,-244720,46523600] 1 [-40:7500:1]
31080bc (1 curve)	1	2- 3- 5- 7- 37+	2- 3- 5- 7- -1 -2 -7 -2
Curve Equation t Generators 31080bc1 [0,1,0,240,4560] 1 [8:84:1]
31080bd (2 curves)	1	2- 3- 5- 7- 37+	2- 3- 5- 7- -4  4  2 -2
Curve Equation t Generators 31080bd1 [0,1,0,-8275,-288202] 2 [-49:45:1] 31080bd2 [0,1,0,-16780,395600] 2 [-10:-750:1]

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