Cremona's table of elliptic curves

58080 = 2⁵ · 3 · 5 · 11²

Class	r	Atkin-Lehner	Eigenvalues
58080a (2 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  4 11+  0  0  4
Curve Equation t Generators 58080a1 [0,-1,0,-2306,-65844] 2 [108:966:1] 58080a2 [0,-1,0,-42401,-3345615] 2 [-119:28:1]
58080b (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  0 11-  2  2  0
Curve Equation t 58080b1 [0,-1,0,-22546,1240120] 4 58080b2 [0,-1,0,17384,5121316] 2 58080b3 [0,-1,0,-67921,-5266655] 2 58080b4 [0,-1,0,-355296,81632520] 2
58080c (1 curve)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  1 11- -5  7 -3
Curve Equation t 58080c1 [0,-1,0,-26176,-1332824] 1
58080d (1 curve)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  3 11- -1  5 -3
Curve Equation t 58080d1 [0,-1,0,-43576496,-110011783704] 1
58080e (1 curve)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  3 11- -2  4  7
Curve Equation t 58080e1 [0,-1,0,-159446701,-782208418715] 1
58080f (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  4 11- -6 -2 -4
Curve Equation t 58080f1 [0,-1,0,-27386,-1700664] 4 58080f2 [0,-1,0,2864,-5282264] 2 58080f3 [0,-1,0,-60056,3173700] 2 58080f4 [0,-1,0,-435761,-110573439] 2
58080g (2 curves)	0	2+ 3+ 5- 11+	2+ 3+ 5-  2 11+  2 -6  0
Curve Equation t 58080g1 [0,-1,0,-18190,1270612] 2 58080g2 [0,-1,0,-317665,69011857] 2
58080h (2 curves)	0	2+ 3+ 5- 11+	2+ 3+ 5- -2 11+ -2  2  4
Curve Equation t 58080h1 [0,-1,0,88290,18413892] 2 58080h2 [0,-1,0,-743585,206584017] 2
58080i (4 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5-  0 11-  2 -2 -4
Curve Equation t Generators 58080i1 [0,-1,0,-119830,-15908000] 4 [1336724914:18511148700:2685619] 58080i2 [0,-1,0,-87160,-24807308] 2 [16284:2077570:1] 58080i3 [0,-1,0,-153105,-6331455] 2 [-9528:51425:27] 58080i4 [0,-1,0,-1916680,-1020706520] 2 [55083399296047:-3330638742982650:13194446147]
58080j (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5-  1 11-  3 -1 -5
Curve Equation t Generators 58080j1 [0,-1,0,-920,10980] 1 [16:10:1]
58080k (2 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5- -2 11-  2  0  6
Curve Equation t Generators 58080k1 [0,-1,0,-5910890,6219113100] 2 [-2570:66550:1] 58080k2 [0,-1,0,-97795265,372268086225] 2 [5680:3025:1]
58080l (2 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5- -2 11-  6  0 -6
Curve Equation t Generators 58080l1 [0,-1,0,-1250,-128148] 2 [92:726:1] 58080l2 [0,-1,0,-46625,-3839823] 2 [-128:121:1]
58080m (2 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5-  4 11-  0  2 -2
Curve Equation t Generators 58080m1 [0,-1,0,1170,-20700] 2 [235:3630:1] 58080m2 [0,-1,0,-7905,-204015] 2 [1946:27951:8]
58080n (4 curves)	1	2+ 3+ 5- 11-	2+ 3+ 5-  4 11-  2  6  0
Curve Equation t Generators 58080n1 [0,-1,0,-3670,-81200] 4 [4970:123165:8] 58080n2 [0,-1,0,1775,-306623] 2 [64:255:1] 58080n3 [0,-1,0,-9720,262440] 2 [60648102:-1494401643:97336] 58080n4 [0,-1,0,-58120,-5373740] 2 [1758918:-40731643:2744]
58080o (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5- -5 11- -2 -8 -5
Curve Equation t Generators 58080o1 [0,-1,0,-24845,6055557] 1 [-161:2420:1]
58080p (2 curves)	2	2+ 3- 5+ 11+	2+ 3- 5+ -4 11+  0  0 -4
Curve Equation t Generators 58080p1 [0,1,0,-2306,65844] 2 [122:-1485:8]&[-26:330:1] 58080p2 [0,1,0,-42401,3345615] 2 [-221:1404:1]&[139:-396:1]
58080q (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+  1 11-  5 -7 -3
Curve Equation t Generators 58080q1 [0,1,0,-216,-1080] 1 [-6:6:1]
58080r (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+  3 11-  1 -5 -3
Curve Equation t Generators 58080r1 [0,1,0,-360136,-82784440] 1 [-334:594:1]
58080s (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -3 11- -2  4 -7
Curve Equation t Generators 58080s1 [0,1,0,-159446701,782208418715] 1 [2717:607500:1]
58080t (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5-  2 11+ -2  6  0
Curve Equation t Generators 58080t1 [0,1,0,-150,900] 2 [0:30:1] 58080t2 [0,1,0,-2625,50895] 2 [18:99:1]
58080u (2 curves)	1	2+ 3- 5- 11+	2+ 3- 5- -2 11+  2 -2  4
Curve Equation t Generators 58080u1 [0,1,0,730,14100] 2 [10:150:1] 58080u2 [0,1,0,-6145,152975] 2 [95:-660:1]
58080v (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11-  2 -2  4
Curve Equation t 58080v1 [0,1,0,-119830,15908000] 4 58080v2 [0,1,0,-87160,24807308] 2 58080v3 [0,1,0,-153105,6331455] 2 58080v4 [0,1,0,-1916680,1020706520] 2
58080w (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11- -2  6 -4
Curve Equation t 58080w1 [0,1,0,-67369210,209993118608] 4 58080w2 [0,1,0,-6112960,577604126108] 2 58080w3 [0,1,0,-132594865,-262801564225] 2 58080w4 [0,1,0,-1073937960,13545821173608] 4
58080x (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11- -2 -6 -4
Curve Equation t 58080x1 [0,1,0,-1250,-15600] 4 58080x2 [0,1,0,1775,-76705] 2 58080x3 [0,1,0,-4880,113628] 2 58080x4 [0,1,0,-19400,-1046520] 2
58080y (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  0 11-  4  6  2
Curve Equation t 58080y1 [0,1,0,-226310,208461108] 2 58080y2 [0,1,0,-6841985,6862507023] 2
58080z (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5-  1 11- -3  1 -5
Curve Equation t 58080z1 [0,1,0,-111360,14168988] 1
58080ba (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  2 11-  2  0 -6
Curve Equation t 58080ba1 [0,1,0,-5910890,-6219113100] 2 58080ba2 [0,1,0,-97795265,-372268086225] 2
58080bb (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  2 11-  6  0  6
Curve Equation t 58080bb1 [0,1,0,-1250,128148] 2 58080bb2 [0,1,0,-46625,3839823] 2
58080bc (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  4 11- -4  2  6
Curve Equation t 58080bc1 [0,1,0,-134350,-19847500] 2 58080bc2 [0,1,0,-2176225,-1236396625] 2
58080bd (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5- -4 11-  2  6  0
Curve Equation t 58080bd1 [0,1,0,-3670,81200] 4 58080bd2 [0,1,0,1775,306623] 2 58080bd3 [0,1,0,-9720,-262440] 2 58080bd4 [0,1,0,-58120,5373740] 2
58080be (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5-  5 11- -2 -8  5
Curve Equation t 58080be1 [0,1,0,-24845,-6055557] 1
58080bf (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+ -4 11+  0  0 -4
Curve Equation t 58080bf1 [0,-1,0,-279066,88754580] 2 58080bf2 [0,-1,0,-5130561,4473535761] 2
58080bg (4 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  0 11-  2  2 -4
Curve Equation t Generators 58080bg1 [0,-1,0,-24966,-1305720] 4 [4743:326430:1] 58080bg2 [0,-1,0,41584,-7135500] 2 [141216191:9730282302:29791] 58080bg3 [0,-1,0,-106641,12137985] 2 [136:363:1] 58080bg4 [0,-1,0,-384336,-91579464] 2 [10454977:714691050:2197]
58080bh (4 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  0 11- -2  2  8
Curve Equation t Generators 58080bh1 [0,-1,0,-766,3016] 4 [31:90:1] 58080bh2 [0,-1,0,2864,20440] 2 [2122:35211:8] 58080bh3 [0,-1,0,-6816,-212364] 2 [273:4266:1] 58080bh4 [0,-1,0,-9841,378721] 2 [15:484:1]
58080bi (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+ -1 11-  5 -7  3
Curve Equation t Generators 58080bi1 [0,-1,0,-216,1080] 1 [5:10:1]
58080bj (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+ -3 11-  1 -5  3
Curve Equation t Generators 58080bj1 [0,-1,0,-360136,82784440] 1 [108003:243986:343]
58080bk (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+ -3 11-  2 -4 -7
Curve Equation t Generators 58080bk1 [0,-1,0,-1317741,588163941] 1 [-889:32500:1]
58080bl (2 curves)	1	2- 3+ 5- 11+	2- 3+ 5-  2 11+  2 -2 -4
Curve Equation t Generators 58080bl1 [0,-1,0,730,-14100] 2 [20:90:1] 58080bl2 [0,-1,0,-6145,-152975] 2 [-40:165:1]
58080bm (2 curves)	1	2- 3+ 5- 11+	2- 3+ 5- -2 11+ -2  6  0
Curve Equation t Generators 58080bm1 [0,-1,0,-150,-900] 2 [26:110:1] 58080bm2 [0,-1,0,-2625,-50895] 2 [71:340:1]
58080bn (4 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  0 11- -2  6  4
Curve Equation t 58080bn1 [0,-1,0,-67369210,-209993118608] 4 58080bn2 [0,-1,0,-6112960,-577604126108] 2 58080bn3 [0,-1,0,-132594865,262801564225] 4 58080bn4 [0,-1,0,-1073937960,-13545821173608] 2
58080bo (4 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  0 11- -2 -6  4
Curve Equation t 58080bo1 [0,-1,0,-1250,15600] 4 58080bo2 [0,-1,0,1775,76705] 2 58080bo3 [0,-1,0,-4880,-113628] 2 58080bo4 [0,-1,0,-19400,1046520] 2
58080bp (2 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  0 11-  4  6 -2
Curve Equation t 58080bp1 [0,-1,0,-226310,-208461108] 2 58080bp2 [0,-1,0,-6841985,-6862507023] 2
58080bq (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5- -1 11- -3  1  5
Curve Equation t 58080bq1 [0,-1,0,-111360,-14168988] 1
58080br (4 curves)	0	2- 3+ 5- 11-	2- 3+ 5- -4 11- -2  2  4
Curve Equation t 58080br1 [0,-1,0,-3670,14632] 4 58080br2 [0,-1,0,14480,101752] 2 58080br3 [0,-1,0,-36945,-2707263] 2 58080br4 [0,-1,0,-43600,3512500] 4
58080bs (2 curves)	2	2- 3+ 5- 11-	2- 3+ 5- -4 11- -4  2 -6
Curve Equation t Generators 58080bs1 [0,-1,0,-134350,19847500] 2 [-300:5750:1]&[-150:6050:1] 58080bs2 [0,-1,0,-2176225,1236396625] 2 [-733:49368:1]&[-480:46585:1]
58080bt (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5-  5 11-  2  8  5
Curve Equation t 58080bt1 [0,-1,0,-205,-4475] 1
58080bu (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+  4 11+  0  0  4
Curve Equation t Generators 58080bu1 [0,1,0,-279066,-88754580] 2 [1617:60750:1] 58080bu2 [0,1,0,-5130561,-4473535761] 2 [20922:13125:8]
58080bv (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11-  2  2  0
Curve Equation t 58080bv1 [0,1,0,-22546,-1240120] 4 58080bv2 [0,1,0,17384,-5121316] 2 58080bv3 [0,1,0,-67921,5266655] 2 58080bv4 [0,1,0,-355296,-81632520] 2
58080bw (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11-  2  2  4
Curve Equation t 58080bw1 [0,1,0,-24966,1305720] 4 58080bw2 [0,1,0,41584,7135500] 2 58080bw3 [0,1,0,-106641,-12137985] 2 58080bw4 [0,1,0,-384336,91579464] 2
58080bx (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11- -2  2 -8
Curve Equation t 58080bx1 [0,1,0,-766,-3016] 4 58080bx2 [0,1,0,2864,-20440] 2 58080bx3 [0,1,0,-6816,212364] 2 58080bx4 [0,1,0,-9841,-378721] 2
58080by (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -1 11- -5  7  3
Curve Equation t 58080by1 [0,1,0,-26176,1332824] 1
58080bz (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  3 11-  2 -4  7
Curve Equation t 58080bz1 [0,1,0,-1317741,-588163941] 1
58080ca (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -3 11- -1  5  3
Curve Equation t 58080ca1 [0,1,0,-43576496,110011783704] 1
58080cb (4 curves)	2	2- 3- 5+ 11-	2- 3- 5+ -4 11- -6 -2  4
Curve Equation t Generators 58080cb1 [0,1,0,-27386,1700664] 4 [-158:1452:1]&[-44:1680:1] 58080cb2 [0,1,0,2864,5282264] 2 [-758:-16335:8]&[74:-2430:1] 58080cb3 [0,1,0,-60056,-3173700] 2 [-69:804:1]&[271:726:1] 58080cb4 [0,1,0,-435761,110573439] 2 [130837:-7260:343]&[-510:14157:1]
58080cc (2 curves)	0	2- 3- 5- 11+	2- 3- 5-  2 11+ -2  2 -4
Curve Equation t 58080cc1 [0,1,0,88290,-18413892] 2 58080cc2 [0,1,0,-743585,-206584017] 2
58080cd (2 curves)	0	2- 3- 5- 11+	2- 3- 5- -2 11+  2 -6  0
Curve Equation t 58080cd1 [0,1,0,-18190,-1270612] 2 58080cd2 [0,1,0,-317665,-69011857] 2
58080ce (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -1 11-  3 -1  5
Curve Equation t Generators 58080ce1 [0,1,0,-920,-10980] 1 [-17:6:1]
58080cf (4 curves)	1	2- 3- 5- 11-	2- 3- 5-  4 11- -2  2 -4
Curve Equation t Generators 58080cf1 [0,1,0,-3670,-14632] 4 [-16534:78660:343] 58080cf2 [0,1,0,14480,-101752] 2 [79789759:-1541826390:2352637] 58080cf3 [0,1,0,-36945,2707263] 4 [-177:1932:1] 58080cf4 [0,1,0,-43600,-3512500] 2 [47865210875:1057226882250:83453453]
58080cg (2 curves)	1	2- 3- 5- 11-	2- 3- 5- -4 11-  0  2  2
Curve Equation t Generators 58080cg1 [0,1,0,1170,20700] 2 [-10:90:1] 58080cg2 [0,1,0,-7905,204015] 2 [353:6444:1]
58080ch (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -5 11-  2  8 -5
Curve Equation t Generators 58080ch1 [0,1,0,-205,4475] 1 [5:-60:1]

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