Cremona's table of elliptic curves

105525 = 3² · 5² · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
105525a (1 curve)	1	3+ 5- 7+ 67-	2 3+ 5- 7+ -1  6 -2  4
Curve Equation t Generators 105525a1 [0,0,1,135,-1519] 1 [4680:10949:512]
105525b (1 curve)	1	3+ 5- 7+ 67-	2 3+ 5- 7+ -3 -2 -2  0
Curve Equation t Generators 105525b1 [0,0,1,-109616625,-498049361719] 1 [103179699497438505966215508450:3899025302504523783796204750751:7993080635859130016370248]
105525c (1 curve)	1	3+ 5- 7+ 67-	-2 3+ 5- 7+  1  6  2  4
Curve Equation t Generators 105525c1 [0,0,1,15,56] 1 [0:7:1]
105525d (1 curve)	1	3+ 5- 7+ 67-	-2 3+ 5- 7+  3 -2  2  0
Curve Equation t Generators 105525d1 [0,0,1,-12179625,18446272656] 1 [950:87937:1]
105525e (1 curve)	1	3+ 5- 7- 67+	2 3+ 5- 7-  1 -6 -2  4
Curve Equation t Generators 105525e1 [0,0,1,375,7031] 1 [3300:25843:64]
105525f (1 curve)	1	3+ 5- 7- 67+	2 3+ 5- 7-  3  2 -2  0
Curve Equation t Generators 105525f1 [0,0,1,-487185,147570181] 1 [3650:36011:8]
105525g (1 curve)	1	3+ 5- 7- 67+	-2 3+ 5- 7- -1 -6  2  4
Curve Equation t Generators 105525g1 [0,0,1,3375,-189844] 1 [450:3371:8]
105525h (1 curve)	1	3+ 5- 7- 67+	-2 3+ 5- 7- -3  2  2  0
Curve Equation t Generators 105525h1 [0,0,1,-4384665,-3984394894] 1 [2490:23152:1]
105525i (2 curves)	0	3- 5+ 7+ 67+	0 3- 5+ 7+  3  4 -6  8
Curve Equation t 105525i1 [0,0,1,-7950,-340844] 1 105525i2 [0,0,1,59550,3084781] 1
105525j (2 curves)	0	3- 5+ 7+ 67+	1 3- 5+ 7+ -2  6 -6  0
Curve Equation t 105525j1 [1,-1,0,-88317,27243216] 2 105525j2 [1,-1,0,-2001942,1089305091] 2
105525k (2 curves)	0	3- 5+ 7+ 67+	1 3- 5+ 7+  4  0  0  0
Curve Equation t 105525k1 [1,-1,0,-36792,1831491] 2 105525k2 [1,-1,0,103833,12378366] 2
105525l (1 curve)	0	3- 5+ 7+ 67+	-2 3- 5+ 7+  2 -6  3 -8
Curve Equation t 105525l1 [0,0,1,-694723125,-30853622752344] 1
105525m (1 curve)	0	3- 5+ 7+ 67+	-2 3- 5+ 7+  5  0  0 -2
Curve Equation t 105525m1 [0,0,1,-21675,-1397844] 1
105525n (1 curve)	1	3- 5+ 7+ 67-	0 3- 5+ 7+  0  0  1 -3
Curve Equation t Generators 105525n1 [0,0,1,-6600,-222719] 1 [95:87:1]
105525o (2 curves)	1	3- 5+ 7+ 67-	1 3- 5+ 7+  4  4 -6 -2
Curve Equation t Generators 105525o1 [1,-1,0,-2367,263416] 2 [83142:8433929:8] 105525o2 [1,-1,0,-77742,8328541] 2 [-316:1283:1]
105525p (4 curves)	1	3- 5+ 7+ 67-	1 3- 5+ 7+ -4  6  6 -4
Curve Equation t Generators 105525p1 [1,-1,0,-48042,4044991] 2 [-1178:23089:8] 105525p2 [1,-1,0,-76167,-1214384] 4 [-1338:21569:8] 105525p3 [1,-1,0,300708,-9882509] 2 [3525522:117711139:10648] 105525p4 [1,-1,0,-903042,-329483759] 2 [35662:2303719:8]
105525q (1 curve)	1	3- 5+ 7+ 67-	1 3- 5+ 7+ -6 -6 -7  7
Curve Equation t Generators 105525q1 [1,-1,0,-13505742,-19098702959] 1 [-63723352:37277219:29791]
105525r (4 curves)	1	3- 5+ 7+ 67-	-1 3- 5+ 7+  0  2  2  4
Curve Equation t Generators 105525r1 [1,-1,1,-31505,-2512128] 2 [1942:15225:8] 105525r2 [1,-1,1,-527630,-147380628] 4 [25462:1382265:8] 105525r3 [1,-1,1,-551255,-133441878] 2 [-3978:35485:8] 105525r4 [1,-1,1,-8442005,-9438856878] 2 [3858110:122198661:1000]
105525s (1 curve)	1	3- 5+ 7+ 67-	-2 3- 5+ 7+ -2  4 -3 -5
Curve Equation t Generators 105525s1 [0,0,1,-15375,-9601844] 1 [4180:270112:1]
105525t (1 curve)	1	3- 5+ 7- 67+	0 3- 5+ 7-  5 -1 -3  2
Curve Equation t Generators 105525t1 [0,0,1,-58950,5527406] 1 [370:5862:1]
105525u (4 curves)	1	3- 5+ 7- 67+	1 3- 5+ 7-  0 -2 -2  4
Curve Equation t Generators 105525u1 [1,-1,0,10458,-149009] 2 [350:6629:1] 105525u2 [1,-1,0,-44667,-1196384] 4 [24500:380681:64] 105525u3 [1,-1,0,-399042,96256741] 2 [7403907258:183678108821:7762392] 105525u4 [1,-1,0,-572292,-166343009] 2 [-856553166:926810333:2000376]
105525v (1 curve)	1	3- 5+ 7- 67+	1 3- 5+ 7-  2  2 -3 -3
Curve Equation t Generators 105525v1 [1,-1,0,-19062,-673839] 1 [-72:603:1]
105525w (2 curves)	1	3- 5+ 7- 67+	1 3- 5+ 7- -4 -4  4  0
Curve Equation t Generators 105525w1 [1,-1,0,-3739167,-2782047384] 2 [2248:11868:1] 105525w2 [1,-1,0,-3733542,-2790839259] 2 [5164:337443:1]
105525x (4 curves)	1	3- 5+ 7- 67+	-1 3- 5+ 7-  4 -2 -6 -8
Curve Equation t Generators 105525x1 [1,-1,1,835420,215377422] 2 [848:38730:1] 105525x2 [1,-1,1,-4214705,1922319672] 4 [-576:64775:1] 105525x3 [1,-1,1,-30068330,-62091255828] 2 [-2781:5240:1] 105525x4 [1,-1,1,-59163080,175119597672] 2 [4634:18945:1]
105525y (2 curves)	1	3- 5+ 7- 67+	-1 3- 5+ 7-  4 -4  2  2
Curve Equation t Generators 105525y1 [1,-1,1,-4730,153272] 2 [0:391:1] 105525y2 [1,-1,1,-80105,8746022] 2 [-6:3040:1]
105525z (1 curve)	1	3- 5+ 7- 67+	-2 3- 5+ 7-  2  2  7  0
Curve Equation t Generators 105525z1 [0,0,1,15,1116] 1 [-4:31:1]
105525ba (1 curve)	0	3- 5+ 7- 67-	0 3- 5+ 7-  0  0 -3  1
Curve Equation t 105525ba1 [0,0,1,-9079950,34362704281] 1
105525bb (1 curve)	0	3- 5+ 7- 67-	0 3- 5+ 7- -5  0  2 -4
Curve Equation t 105525bb1 [0,0,1,-2363700,-1398930719] 1
105525bc (1 curve)	0	3- 5+ 7- 67-	1 3- 5+ 7-  0  1 -8  8
Curve Equation t 105525bc1 [1,-1,0,-17892,909391] 1
105525bd (2 curves)	0	3- 5+ 7- 67-	1 3- 5+ 7- -6 -2 -2 -4
Curve Equation t 105525bd1 [1,-1,0,25083,2349616] 2 105525bd2 [1,-1,0,-187542,25100491] 2
105525be (1 curve)	0	3- 5+ 7- 67-	-1 3- 5+ 7-  0 -3  0 -4
Curve Equation t 105525be1 [1,-1,1,-2630,-51128] 1
105525bf (2 curves)	0	3- 5+ 7- 67-	-1 3- 5+ 7-  0  4  0 -4
Curve Equation t 105525bf1 [1,-1,1,-1643278730,25639126231272] 2 105525bf2 [1,-1,1,-1555388105,28503481700022] 2
105525bg (1 curve)	0	3- 5+ 7- 67-	2 3- 5+ 7-  0 -2  6 -7
Curve Equation t 105525bg1 [0,0,1,375,-23279] 1
105525bh (1 curve)	0	3- 5+ 7- 67-	2 3- 5+ 7-  2 -4 -3  7
Curve Equation t 105525bh1 [0,0,1,-887925,-322307969] 1
105525bi (1 curve)	0	3- 5+ 7- 67-	-2 3- 5+ 7-  6  4 -5 -7
Curve Equation t 105525bi1 [0,0,1,-11325,-1252094] 1
105525bj (1 curve)	1	3- 5- 7+ 67+	-2 3- 5- 7+  0  2 -6 -7
Curve Equation t Generators 105525bj1 [0,0,1,9375,-2909844] 1 [359:6835:1]
105525bk (2 curves)	0	3- 5- 7+ 67-	1 3- 5- 7+  0 -2  2  0
Curve Equation t 105525bk1 [1,-1,0,-354625992,2744017269291] 2 105525bk2 [1,-1,0,-5779752867,169127233398666] 2
105525bl (2 curves)	0	3- 5- 7+ 67-	1 3- 5- 7+ -2  0  2 -2
Curve Equation t 105525bl1 [1,-1,0,-10617,-416584] 2 105525bl2 [1,-1,0,-4992,-860959] 2
105525bm (1 curve)	0	3- 5- 7+ 67-	-1 3- 5- 7+  2 -2  3 -3
Curve Equation t 105525bm1 [1,-1,1,-476555,-84706428] 1
105525bn (1 curve)	0	3- 5- 7+ 67-	2 3- 5- 7+  2 -2 -7  0
Curve Equation t 105525bn1 [0,0,1,375,139531] 1
105525bo (2 curves)	0	3- 5- 7- 67+	-1 3- 5- 7-  0  2 -2  0
Curve Equation t 105525bo1 [1,-1,1,-14185040,21954975162] 2 105525bo2 [1,-1,1,-231190115,1353064105212] 2
105525bp (2 curves)	2	3- 5- 7- 67+	-1 3- 5- 7- -2  0 -2 -2
Curve Equation t Generators 105525bp1 [1,-1,1,-425,-3248] 2 [-98:55:8]&[38:166:1] 105525bp2 [1,-1,1,-200,-6848] 2 [49:-340:1]&[28:80:1]
105525bq (1 curve)	0	3- 5- 7- 67+	-1 3- 5- 7- -6  6  7  7
Curve Equation t 105525bq1 [1,-1,1,-540230,-152681578] 1
105525br (1 curve)	1	3- 5- 7- 67-	2 3- 5- 7-  2  6 -3 -8
Curve Equation t Generators 105525br1 [0,0,1,-27788925,-246828982019] 1 [9208508818133616271761495696836156714959840367373806130123180750143120975366684006703838:612704446165374361280399363889596684582550743371489385176060360399814151686623483428600739:937910283873206297433756394873609310913413384809099668186138724735805206575752962168]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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