Cremona's table of elliptic curves

127800 = 2³ · 3² · 5² · 71

Class	r	Atkin-Lehner	Eigenvalues
127800a (1 curve)	1	2+ 3+ 5+ 71+	2+ 3+ 5+  2 -1 -6  5 -3
Curve Equation t Generators 127800a1 [0,0,0,-3750,-84375] 1 [-36:63:1]
127800b (1 curve)	1	2+ 3+ 5+ 71+	2+ 3+ 5+  2  3  2  7 -5
Curve Equation t Generators 127800b1 [0,0,0,-3375,75330] 1 [-9:324:1]
127800c (1 curve)	1	2+ 3+ 5- 71-	2+ 3+ 5- -2  1  6  5 -3
Curve Equation t Generators 127800c1 [0,0,0,-1350,18225] 1 [0:135:1]
127800d (1 curve)	1	2+ 3+ 5- 71-	2+ 3+ 5- -2 -3 -2  7 -5
Curve Equation t Generators 127800d1 [0,0,0,-9375,-348750] 1 [-54:6:1]
127800e (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+  2  3  6 -5 -5
Curve Equation t 127800e1 [0,0,0,-11370,-398815] 1
127800f (2 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+  2 -4  6  0 -8
Curve Equation t 127800f1 [0,0,0,-557175,165258250] 2 127800f2 [0,0,0,-8994675,10383070750] 2
127800g (2 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+ -2  4 -2  4  0
Curve Equation t 127800g1 [0,0,0,-2775,-593750] 2 127800g2 [0,0,0,-124275,-16753250] 2
127800h (2 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+  4  0  4  6 -4
Curve Equation t 127800h1 [0,0,0,825,328250] 2 127800h2 [0,0,0,-66675,6470750] 2
127800i (2 curves)	2	2+ 3- 5+ 71+	2+ 3- 5+ -4  2  0  2  0
Curve Equation t Generators 127800i1 [0,0,0,-9675,-1154250] 2 [159:1152:1]&[255:3600:1] 127800i2 [0,0,0,-234675,-43679250] 2 [630:7650:1]&[2034:88848:1]
127800j (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+ -4 -4  3 -6  4
Curve Equation t 127800j1 [0,0,0,-435,-8210] 1
127800k (2 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+ -4 -6  2  2  4
Curve Equation t 127800k1 [0,0,0,-723675,242851750] 2 127800k2 [0,0,0,-11658675,15322216750] 2
127800l (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+  5  0  2 -7 -2
Curve Equation t 127800l1 [0,0,0,-1155,-15410] 1
127800m (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+ -5 -2  1 -2 -3
Curve Equation t 127800m1 [0,0,0,-16275,796750] 1
127800n (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  0  0  0 -6 -4
Curve Equation t Generators 127800n1 [0,0,0,-107175,15804250] 2 [-205:5400:1] 127800n2 [0,0,0,-1794675,925366750] 2 [1670:50850:1]
127800o (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+  1  2 -1  2  1
Curve Equation t Generators 127800o1 [0,0,0,-3795075,-740225250] 1 [-1105886410:25929189350:704969]
127800p (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+ -1  3  2  6  1
Curve Equation t Generators 127800p1 [0,0,0,-5475,-189250] 1 [9122:307359:8]
127800q (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  2  0  0  0 -4
Curve Equation t Generators 127800q1 [0,0,0,-25050,-1211375] 2 [-60:275:1] 127800q2 [0,0,0,54825,-7361750] 2 [3135:176000:1]
127800r (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  2  0 -4  0  4
Curve Equation t Generators 127800r1 [0,0,0,-79050,8413625] 2 [-260:3375:1] 127800r2 [0,0,0,825,24628250] 2 [3355:194400:1]
127800s (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+  2  1 -4  1 -5
Curve Equation t Generators 127800s1 [0,0,0,-18750,-959375] 1 [284:4077:1]
127800t (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  2 -2  2  4  4
Curve Equation t Generators 127800t1 [0,0,0,-1443675,-1400764250] 2 [53505119779:2415548681136:19465109] 127800t2 [0,0,0,-29568675,-61841389250] 2 [1006097055451955097038:-47656242057233908264158:136270468831454173]
127800u (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  2 -2 -4 -4  4
Curve Equation t Generators 127800u1 [0,0,0,3525,103750] 2 [15:400:1] 127800u2 [0,0,0,-23475,1048750] 2 [150:950:1]
127800v (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+  2 -3  0  7  1
Curve Equation t Generators 127800v1 [0,0,0,-519375,127381250] 1 [271:2556:1]
127800w (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+ -2  1  2 -3  7
Curve Equation t Generators 127800w1 [0,0,0,-114330,-14876935] 1 [-196:47:1]
127800x (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+ -2 -2  2  0  4
Curve Equation t Generators 127800x1 [0,0,0,-21675,2321750] 2 [31:1296:1] 127800x2 [0,0,0,-426675,107216750] 2 [406:954:1]
127800y (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+  3  6  3 -6 -7
Curve Equation t Generators 127800y1 [0,0,0,-32700,-2391500] 1 [210:50:1]
127800z (1 curve)	1	2+ 3- 5- 71+	2+ 3- 5- -2 -1  4 -3  7
Curve Equation t Generators 127800z1 [0,0,0,-117750,-15499375] 1 [-200:225:1]
127800ba (1 curve)	1	2+ 3- 5- 71+	2+ 3- 5- -2 -5  0  3  5
Curve Equation t Generators 127800ba1 [0,0,0,-33375,1611250] 1 [11:1116:1]
127800bb (2 curves)	0	2+ 3- 5- 71-	2+ 3- 5-  0  0 -2  0  0
Curve Equation t 127800bb1 [0,0,0,-82875,9143750] 2 127800bb2 [0,0,0,-127875,-1881250] 2
127800bc (1 curve)	0	2+ 3- 5- 71-	2+ 3- 5- -1 -2  7  6  1
Curve Equation t 127800bc1 [0,0,0,19500,-1937500] 1
127800bd (1 curve)	2	2+ 3- 5- 71-	2+ 3- 5- -4 -3  2 -5  7
Curve Equation t Generators 127800bd1 [0,0,0,-10875,-216250] 1 [175:1800:1]&[-86:288:1]
127800be (1 curve)	1	2- 3+ 5+ 71-	2- 3+ 5+  2  1 -6 -5 -3
Curve Equation t Generators 127800be1 [0,0,0,-33750,2278125] 1 [54:783:1]
127800bf (1 curve)	1	2- 3+ 5+ 71-	2- 3+ 5+  2 -3  2 -7 -5
Curve Equation t Generators 127800bf1 [0,0,0,-375,-2790] 1 [-11:2:1]
127800bg (1 curve)	1	2- 3+ 5- 71+	2- 3+ 5- -2 -1  6 -5 -3
Curve Equation t Generators 127800bg1 [0,0,0,-150,-675] 1 [-6:3:1]
127800bh (1 curve)	1	2- 3+ 5- 71+	2- 3+ 5- -2  3 -2 -7 -5
Curve Equation t Generators 127800bh1 [0,0,0,-84375,9416250] 1 [225:-1350:1]
127800bi (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+  2 -1 -4  3  7
Curve Equation t Generators 127800bi1 [0,0,0,-4710,-123995] 1 [-302:27:8]
127800bj (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+  2 -4 -4  0 -4
Curve Equation t Generators 127800bj1 [0,0,0,3825,-60750] 2 [45:-450:1] 127800bj2 [0,0,0,-18675,-533250] 2 [-101:568:1]
127800bk (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+  2 -5  0 -3  5
Curve Equation t Generators 127800bk1 [0,0,0,-1335,12890] 1 [-11:162:1]
127800bl (4 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -4 -4  2  6  4
Curve Equation t Generators 127800bl1 [0,0,0,-399450,97172125] 2 [446:2781:1] 127800bl2 [0,0,0,-400575,96597250] 4 [-91:11502:1] 127800bl3 [0,0,0,-81075,246442750] 2 [59:15552:1] 127800bl4 [0,0,0,-738075,-90040250] 2 [1235:29700:1]
127800bm (4 curves)	0	2- 3- 5+ 71-	2- 3- 5+  0  0  6  2  4
Curve Equation t 127800bm1 [0,0,0,-18975,-2038750] 2 127800bm2 [0,0,0,-383475,-91341250] 4 127800bm3 [0,0,0,-464475,-49950250] 2 127800bm4 [0,0,0,-6134475,-5848092250] 2
127800bn (1 curve)	0	2- 3- 5+ 71-	2- 3- 5+ -1 -6 -1 -4  7
Curve Equation t 127800bn1 [0,0,0,-9675,195750] 1
127800bo (2 curves)	0	2- 3- 5+ 71-	2- 3- 5+  2  0 -4 -4  4
Curve Equation t 127800bo1 [0,0,0,-5854050,-5451694875] 2 127800bo2 [0,0,0,-5774175,-5607690750] 2
127800bp (1 curve)	0	2- 3- 5+ 71-	2- 3- 5+  4 -3 -2  5  7
Curve Equation t 127800bp1 [0,0,0,-435,-1730] 1
127800bq (1 curve)	0	2- 3- 5- 71+	2- 3- 5- -2  3 -6  5 -5
Curve Equation t 127800bq1 [0,0,0,-284250,-49851875] 1
127800br (1 curve)	0	2- 3- 5- 71+	2- 3- 5-  4 -4 -3  6  4
Curve Equation t 127800br1 [0,0,0,-10875,-1026250] 1
127800bs (1 curve)	0	2- 3- 5- 71+	2- 3- 5- -5  0 -2  7 -2
Curve Equation t 127800bs1 [0,0,0,-28875,-1926250] 1
127800bt (2 curves)	1	2- 3- 5- 71-	2- 3- 5-  0  0  2  0  0
Curve Equation t Generators 127800bt1 [0,0,0,-3315,73150] 2 [50:180:1] 127800bt2 [0,0,0,-5115,-15050] 2 [74:108:1]
127800bu (1 curve)	1	2- 3- 5- 71-	2- 3- 5-  1 -2 -7 -6  1
Curve Equation t Generators 127800bu1 [0,0,0,780,-15500] 1 [20:90:1]
127800bv (1 curve)	1	2- 3- 5- 71-	2- 3- 5-  2  1 -2  3  7
Curve Equation t Generators 127800bv1 [0,0,0,-2858250,-1859616875] 1 [-544012687451:233726072922:553387661]
127800bw (1 curve)	1	2- 3- 5- 71-	2- 3- 5- -2  1  4 -1 -5
Curve Equation t Generators 127800bw1 [0,0,0,-750,-7675] 1 [-14:9:1]
127800bx (1 curve)	1	2- 3- 5- 71-	2- 3- 5- -2 -3  0 -7  1
Curve Equation t Generators 127800bx1 [0,0,0,-20775,1019050] 1 [-31:1278:1]

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