Cremona's table of elliptic curves

58275 = 3² · 5² · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
58275a (2 curves)	0	3+ 5+ 7- 37+	1 3+ 5+ 7-  2  4  6 -2
Curve Equation t 58275a1 [1,-1,0,-4317,115216] 2 58275a2 [1,-1,0,-69942,7137091] 2
58275b (2 curves)	0	3+ 5+ 7- 37+	-1 3+ 5+ 7- -2  4 -6 -2
Curve Equation t 58275b1 [1,-1,1,-38855,-3071978] 2 58275b2 [1,-1,1,-629480,-192071978] 2
58275c (4 curves)	0	3- 5+ 7+ 37+	1 3- 5+ 7+  0 -2 -2  0
Curve Equation t 58275c1 [1,-1,0,9333,-237384] 2 58275c2 [1,-1,0,-45792,-2056509] 4 58275c3 [1,-1,0,-337167,73992366] 2 58275c4 [1,-1,0,-636417,-195190884] 2
58275d (4 curves)	0	3- 5+ 7+ 37+	-1 3- 5+ 7+  0 -2 -6  4
Curve Equation t 58275d1 [1,-1,1,-3155,-107278] 2 58275d2 [1,-1,1,-58280,-5399278] 4 58275d3 [1,-1,1,-66155,-3840028] 2 58275d4 [1,-1,1,-932405,-346308028] 2
58275e (1 curve)	1	3- 5+ 7+ 37-	0 3- 5+ 7+  1  1 -2  4
Curve Equation t Generators 58275e1 [0,0,1,-38100,2862531] 1 [101:211:1]
58275f (1 curve)	1	3- 5+ 7+ 37-	0 3- 5+ 7+  1  5 -2 -4
Curve Equation t Generators 58275f1 [0,0,1,1950,-1151969] 1 [284410:4733239:1000]
58275g (1 curve)	1	3- 5+ 7+ 37-	0 3- 5+ 7+ -2 -5 -2 -8
Curve Equation t Generators 58275g1 [0,0,1,-1831800,-1905769719] 1 [12035:-1311188:1]
58275h (1 curve)	1	3- 5+ 7+ 37-	1 3- 5+ 7+  0 -6 -4 -5
Curve Equation t Generators 58275h1 [1,-1,0,-5517,-159314] 1 [90:214:1]
58275i (1 curve)	1	3- 5+ 7+ 37-	1 3- 5+ 7+  3  0 -7  4
Curve Equation t Generators 58275i1 [1,-1,0,-222192,41616841] 1 [-136:8393:1]
58275j (2 curves)	1	3- 5+ 7+ 37-	1 3- 5+ 7+ -4 -4  0 -6
Curve Equation t Generators 58275j1 [1,-1,0,-1167,112616] 2 [88:784:1] 58275j2 [1,-1,0,-42792,3400991] 2 [94:403:1]
58275k (2 curves)	1	3- 5+ 7+ 37-	1 3- 5+ 7+ -6  0  2  4
Curve Equation t Generators 58275k1 [1,-1,0,-30800817,-70959406784] 2 [8933584:204490708:1331] 58275k2 [1,-1,0,-503497692,-4348393428659] 2 [33053159260:-20570529680951:85184]
58275l (2 curves)	1	3- 5+ 7+ 37-	-1 3- 5+ 7+  2  4  6  0
Curve Equation t Generators 58275l1 [1,-1,1,29020,-1914978] 2 [143:2196:1] 58275l2 [1,-1,1,-167855,-18058728] 2 [4894:80655:8]
58275m (1 curve)	1	3- 5+ 7- 37+	0 3- 5+ 7- -2  1 -2 -4
Curve Equation t Generators 58275m1 [0,0,1,-3450,-111969] 1 [185:2362:1]
58275n (1 curve)	1	3- 5+ 7- 37+	0 3- 5+ 7- -5  1  1  2
Curve Equation t Generators 58275n1 [0,0,1,4267050,7305879906] 1 [-330:76562:1]
58275o (4 curves)	1	3- 5+ 7- 37+	1 3- 5+ 7-  0  2  2 -4
Curve Equation t Generators 58275o1 [1,-1,0,-295092,61773691] 2 [1175910:3052517:3375] 58275o2 [1,-1,0,-296217,61279816] 4 [10676:254537:64] 58275o3 [1,-1,0,-22842,169809691] 2 [2714:140393:1] 58275o4 [1,-1,0,-587592,-78871559] 2 [1189776610:13336306069:1331000]
58275p (1 curve)	1	3- 5+ 7- 37+	1 3- 5+ 7-  2  4  6 -5
Curve Equation t Generators 58275p1 [1,-1,0,5508,-72959] 1 [910:10903:8]
58275q (4 curves)	1	3- 5+ 7- 37+	1 3- 5+ 7- -4 -2  2  4
Curve Equation t Generators 58275q1 [1,-1,0,-3717,-86184] 2 [540:12186:1] 58275q2 [1,-1,0,-4842,-28809] 4 [-498:1599:8] 58275q3 [1,-1,0,18783,-241434] 2 [174:3279:8] 58275q4 [1,-1,0,-46467,3842316] 2 [180:1044:1]
58275r (8 curves)	1	3- 5+ 7- 37+	-1 3- 5+ 7-  4  2  2 -4
Curve Equation t Generators 58275r1 [1,-1,1,-486005,-135806628] 2 [3129371130027296314:98206778765055428910:2195834106297833] 58275r2 [1,-1,1,-7867130,-8491240128] 4 [1171132300:74043744057:205379] 58275r3 [1,-1,1,-7958255,-8284386378] 4 [21518:3117096:1] 58275r4 [1,-1,1,-125874005,-543534411378] 2 [1123450932677675:-77744580145134573:73507403269] 58275r5 [1,-1,1,4444870,-31751098878] 2 [28496083:4168673526:1331] 58275r6 [1,-1,1,-21819380,28419872622] 4 [1254:54410:1] 58275r7 [1,-1,1,56227495,185606278872] 2 [3554:654210:1] 58275r8 [1,-1,1,-321644255,2220139708872] 2 [10515:18423:1]
58275s (4 curves)	1	3- 5+ 7- 37+	-1 3- 5+ 7- -4 -2  6  0
Curve Equation t Generators 58275s1 [1,-1,1,-36230,-26590228] 2 [179093796:-8547820100:79507] 58275s2 [1,-1,1,-1576355,-756609478] 4 [-55478772:-115138805:79507] 58275s3 [1,-1,1,-2616980,367265522] 2 [1674:25150:1] 58275s4 [1,-1,1,-25177730,-48620197978] 2 [-8276146440969:4012354614580:2857243059]
58275t (1 curve)	1	3- 5+ 7- 37+	-1 3- 5+ 7-  5  1 -6  0
Curve Equation t Generators 58275t1 [1,-1,1,-5,182] 1 [0:13:1]
58275u (1 curve)	1	3- 5+ 7- 37+	-1 3- 5+ 7- -5 -4  5  8
Curve Equation t Generators 58275u1 [1,-1,1,-5,10122] 1 [14:-120:1]
58275v (1 curve)	1	3- 5+ 7- 37+	-2 3- 5+ 7- -1  1  2  4
Curve Equation t Generators 58275v1 [0,0,1,-569688825,-5234183066844] 1 [94816249:23648683649:1331]
58275w (1 curve)	1	3- 5+ 7- 37+	-2 3- 5+ 7- -1  1 -3  4
Curve Equation t Generators 58275w1 [0,0,1,-15825,-1173344] 1 [155:312:1]
58275x (1 curve)	1	3- 5+ 7- 37+	-2 3- 5+ 7-  3  5  2 -4
Curve Equation t Generators 58275x1 [0,0,1,-75,-7844] 1 [64:499:1]
58275y (1 curve)	0	3- 5+ 7- 37-	1 3- 5+ 7-  0  2 -4 -1
Curve Equation t 58275y1 [1,-1,0,-13606992,19324052041] 1
58275z (1 curve)	0	3- 5+ 7- 37-	1 3- 5+ 7-  3 -4 -1 -4
Curve Equation t 58275z1 [1,-1,0,166833,4192366] 1
58275ba (2 curves)	0	3- 5+ 7- 37-	1 3- 5+ 7- -6  4  2 -4
Curve Equation t 58275ba1 [1,-1,0,-8442,948591] 2 58275ba2 [1,-1,0,-205317,35795466] 2
58275bb (1 curve)	1	3- 5- 7+ 37+	0 3- 5- 7+  3  5 -3 -6
Curve Equation t Generators 58275bb1 [0,0,1,-9000,-1286719] 1 [3675:2674:27]
58275bc (1 curve)	1	3- 5- 7+ 37+	-1 3- 5- 7+  0 -2  4 -1
Curve Equation t Generators 58275bc1 [1,-1,1,-544280,154701272] 1 [430:-44:1]
58275bd (1 curve)	0	3- 5- 7+ 37-	1 3- 5- 7+  5 -1  6  0
Curve Equation t 58275bd1 [1,-1,0,-117,22666] 1
58275be (1 curve)	2	3- 5- 7+ 37-	-1 3- 5- 7+  2 -4 -6 -5
Curve Equation t Generators 58275be1 [1,-1,1,220,-628] 1 [4:15:1]&[9:-50:1]
58275bf (1 curve)	2	3- 5- 7+ 37-	-2 3- 5- 7+ -6  1 -4  6
Curve Equation t Generators 58275bf1 [0,0,1,-141195,20437956] 1 [1220:40792:1]&[-430:1282:1]
58275bg (1 curve)	0	3- 5- 7- 37+	-1 3- 5- 7-  0  6  4 -5
Curve Equation t 58275bg1 [1,-1,1,-137930,-20052178] 1
58275bh (1 curve)	0	3- 5- 7- 37+	2 3- 5- 7- -6 -1  4  6
Curve Equation t 58275bh1 [0,0,1,-3529875,2554744531] 1
58275bi (1 curve)	1	3- 5- 7- 37-	0 3- 5- 7-  3 -5  3 -6
Curve Equation t Generators 58275bi1 [0,0,1,-360,-10294] 1 [34:129:1]

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