Cremona's table of elliptic curves

7770 = 2 · 3 · 5 · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
7770a (4 curves)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+ -4  2  2  4
Curve Equation t Generators 7770a1 [1,1,0,6437,564253] 2 [111:1576:1] 7770a2 [1,1,0,-75483,7134237] 4 [29:2215:1] 7770a3 [1,1,0,-288603,-52155747] 2 [659:6333:1] 7770a4 [1,1,0,-1173083,488541597] 2 [669:1596:1]
7770b (1 curve)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+ -4  3 -6  0
Curve Equation t Generators 7770b1 [1,1,0,-38628,-4130352] 1 [2907:154944:1]
7770c (4 curves)	0	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+  0 -2 -2 -4
Curve Equation t 7770c1 [1,1,0,61772,992128] 2 7770c2 [1,1,0,-250728,7679628] 4 7770c3 [1,1,0,-2516978,-1530197622] 2 7770c4 [1,1,0,-2984478,1979806878] 2
7770d (1 curve)	0	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+  5 -2  3  6
Curve Equation t 7770d1 [1,1,0,-22498,-1328012] 1
7770e (1 curve)	0	2+ 3+ 5+ 7- 37+	2+ 3+ 5+ 7- -1  2  7 -2
Curve Equation t 7770e1 [1,1,0,-25903,-329167643] 1
7770f (2 curves)	0	2+ 3+ 5- 7+ 37+	2+ 3+ 5- 7+  2  2  2 -2
Curve Equation t 7770f1 [1,1,0,1033,24021] 2 7770f2 [1,1,0,-8767,261181] 2
7770g (2 curves)	0	2+ 3+ 5- 7+ 37+	2+ 3+ 5- 7+ -2 -4  2  4
Curve Equation t 7770g1 [1,1,0,-3821247,2877808581] 2 7770g2 [1,1,0,-61165247,184096317381] 2
7770h (1 curve)	0	2+ 3+ 5- 7+ 37+	2+ 3+ 5- 7+  3  6 -3 -6
Curve Equation t 7770h1 [1,1,0,-192,-1116] 1
7770i (4 curves)	1	2+ 3+ 5- 7- 37+	2+ 3+ 5- 7- -4  2 -2  4
Curve Equation t Generators 7770i1 [1,1,0,483,3069] 2 [3:66:1] 7770i2 [1,1,0,-2397,24381] 4 [-33:279:1] 7770i3 [1,1,0,-17397,-872619] 2 [-73:159:1] 7770i4 [1,1,0,-33477,2342949] 2 [113:81:1]
7770j (2 curves)	0	2+ 3- 5+ 7- 37-	2+ 3- 5+ 7-  0 -1  6  8
Curve Equation t 7770j1 [1,0,1,41,-448] 3 7770j2 [1,0,1,-3424,-77434] 1
7770k (1 curve)	0	2+ 3- 5- 7+ 37-	2+ 3- 5- 7+ -1  4  1  0
Curve Equation t 7770k1 [1,0,1,-1078508,-431459782] 1
7770l (2 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  0 -4 -2 -2
Curve Equation t Generators 7770l1 [1,0,1,-3,106] 2 [2:9:1] 7770l2 [1,0,1,-353,2486] 2 [-18:64:1]
7770m (2 curves)	1	2- 3+ 5+ 7- 37+	2- 3+ 5+ 7-  2  2 -2 -2
Curve Equation t Generators 7770m1 [1,1,1,-1045331,410933969] 2 [569:590:1] 7770m2 [1,1,1,-16725331,26320565969] 2 [2333:1164:1]
7770n (1 curve)	1	2- 3+ 5+ 7- 37+	2- 3+ 5+ 7- -3  2  3 -2
Curve Equation t Generators 7770n1 [1,1,1,239,419] 1 [7:46:1]
7770o (1 curve)	1	2- 3+ 5+ 7- 37+	2- 3+ 5+ 7- -4 -1 -2  4
Curve Equation t Generators 7770o1 [1,1,1,834,-46341] 1 [61:455:1]
7770p (4 curves)	0	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7-  4  6  6  4
Curve Equation t 7770p1 [1,1,1,-21,-261] 2 7770p2 [1,1,1,-741,-8037] 4 7770p3 [1,1,1,-11841,-500877] 2 7770p4 [1,1,1,-1161,1539] 2
7770q (1 curve)	1	2- 3+ 5- 7+ 37+	2- 3+ 5- 7+  5  2 -7 -2
Curve Equation t Generators 7770q1 [1,1,1,-265,1655] 1 [13:-32:1]
7770r (4 curves)	0	2- 3+ 5- 7+ 37-	2- 3+ 5- 7+  0 -2  2  0
Curve Equation t 7770r1 [1,1,1,80,257] 4 7770r2 [1,1,1,-420,1857] 4 7770r3 [1,1,1,-2870,-58903] 2 7770r4 [1,1,1,-5970,175017] 2
7770s (1 curve)	1	2- 3+ 5- 7- 37-	2- 3+ 5- 7- -1 -2 -3  6
Curve Equation t Generators 7770s1 [1,1,1,322605,7793745] 1 [3:2958:1]
7770t (1 curve)	1	2- 3+ 5- 7- 37-	2- 3+ 5- 7- -4  1 -6  0
Curve Equation t Generators 7770t1 [1,1,1,-1705,29975] 1 [-37:228:1]
7770u (2 curves)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+  0  0 -2 -6
Curve Equation t Generators 7770u1 [1,0,0,-1306,27236] 2 [68:-538:1] 7770u2 [1,0,0,-23706,1402596] 2 [60:414:1]
7770v (1 curve)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+ -1 -4  3  4
Curve Equation t Generators 7770v1 [1,0,0,-35361,2556441] 1 [108:-63:1]
7770w (2 curves)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+  4 -4 -2 -6
Curve Equation t Generators 7770w1 [1,0,0,-4571,-119535] 2 [168:1881:1] 7770w2 [1,0,0,-73171,-7624375] 2 [8652:32485:27]
7770x (4 curves)	0	2- 3- 5+ 7+ 37-	2- 3- 5+ 7+  4  2 -2  8
Curve Equation t 7770x1 [1,0,0,7169,-846055] 4 7770x2 [1,0,0,-102351,-11600919] 4 7770x3 [1,0,0,-1600851,-779732019] 2 7770x4 [1,0,0,-356171,68656965] 2
7770y (2 curves)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7- -2 -4  6  0
Curve Equation t 7770y1 [1,0,0,-583331,171436545] 2 7770y2 [1,0,0,-9333331,10974186545] 2
7770z (6 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  0 -4 -6  2
Curve Equation t Generators 7770z1 [1,0,0,9199,653481] 6 [-44:427:1] 7770z2 [1,0,0,-80401,7409321] 6 [80:1181:1] 7770z3 [1,0,0,-85841,-21597975] 6 [628:12811:1] 7770z4 [1,0,0,-1800841,-929518975] 6 [2000:57905:1] 7770z5 [1,0,0,-9114581,-10592163939] 2 [29022:497049:8] 7770z6 [1,0,0,-145833331,-677861695189] 2 [1146157038:-507700151279:5832]
7770ba (2 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -3 -4  3 -4
Curve Equation t Generators 7770ba1 [1,0,0,24,576] 3 [-6:18:1] 7770ba2 [1,0,0,-216,-15600] 1 [86:734:1]
7770bb (4 curves)	1	2- 3- 5- 7+ 37-	2- 3- 5- 7+  0 -6 -6 -4
Curve Equation t Generators 7770bb1 [1,0,0,-410,-3228] 2 [24:18:1] 7770bb2 [1,0,0,-490,-1900] 4 [-10:50:1] 7770bb3 [1,0,0,-3990,95400] 4 [60:240:1] 7770bb4 [1,0,0,1730,-13888] 2 [64:568:1]
7770bc (1 curve)	1	2- 3- 5- 7+ 37-	2- 3- 5- 7+ -3  0 -3 -4
Curve Equation t Generators 7770bc1 [1,0,0,-281490,80204292] 1 [2244:-104802:1]
7770bd (1 curve)	1	2- 3- 5- 7- 37+	2- 3- 5- 7- -5 -4 -3  0
Curve Equation t Generators 7770bd1 [1,0,0,-1750,318500] 1 [-70:350:1]
7770be (6 curves)	0	2- 3- 5- 7- 37-	2- 3- 5- 7-  4 -2  2 -4
Curve Equation t 7770be1 [1,0,0,-1785,28665] 4 7770be2 [1,0,0,-3065,-18183] 8 7770be3 [1,0,0,-38345,-2889975] 4 7770be4 [1,0,0,11735,-139543] 4 7770be5 [1,0,0,-613325,-184928643] 2 7770be6 [1,0,0,-27845,-4504875] 2

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