Cremona's table of elliptic curves

72200 = 2³ · 5² · 19²

Class	r	Atkin-Lehner	Eigenvalues
72200a (1 curve)	1	2+ 5+ 19+	2+  0 5+  0 -1 -6  3 19+
Curve Equation t Generators 72200a1 [0,0,0,-171475,-27367410] 1 [20188864962951279591417774:304257992006927918047474314:34008788251214014603429]
72200b (1 curve)	1	2+ 5+ 19+	2+  1 5+ -1  2 -1  5 19+
Curve Equation t Generators 72200b1 [0,1,0,-14804008,22257029488] 1 [59696294646:1102763441375:32157432]
72200c (4 curves)	0	2+ 5+ 19-	2+  0 5+  4  4 -2 -2 19-
Curve Equation t 72200c1 [0,0,0,-18050,-857375] 2 72200c2 [0,0,0,-63175,5144250] 4 72200c3 [0,0,0,117325,29150750] 2 72200c4 [0,0,0,-965675,365241750] 2
72200d (1 curve)	0	2+ 5+ 19-	2+  1 5+  0  3  2 -2 19-
Curve Equation t 72200d1 [0,1,0,-1086008,802077488] 1
72200e (1 curve)	0	2+ 5+ 19-	2+  1 5+  0 -4 -5  5 19-
Curve Equation t 72200e1 [0,1,0,-10608,-424087] 1
72200f (1 curve)	0	2+ 5+ 19-	2+  1 5+ -3  2  1  5 19-
Curve Equation t 72200f1 [0,1,0,-75208,11343088] 1
72200g (1 curve)	0	2+ 5+ 19-	2+ -1 5+  2  5  6  6 19-
Curve Equation t 72200g1 [0,-1,0,-22008,-1255988] 1
72200h (2 curves)	2	2+ 5+ 19-	2+  2 5+ -4 -4  0 -6 19-
Curve Equation t Generators 72200h1 [0,-1,0,42117,-1379488] 2 [887:27075:1]&[346:5775:8] 72200h2 [0,-1,0,-183508,-11306988] 2 [-234:4332:1]&[657:12300:1]
72200i (2 curves)	0	2+ 5+ 19-	2+ -2 5+  0 -4  4  2 19-
Curve Equation t 72200i1 [0,1,0,-318883,-59900262] 2 72200i2 [0,1,0,538492,-325686512] 2
72200j (1 curve)	0	2+ 5+ 19-	2+ -2 5+  0  5 -2  2 19-
Curve Equation t 72200j1 [0,1,0,-4344033,2245382563] 1
72200k (1 curve)	2	2+ 5+ 19-	2+ -2 5+  3 -3 -4 -5 19-
Curve Equation t Generators 72200k1 [0,1,0,-12033,-2925437] 1 [177:722:1]&[219:2234:1]
72200l (1 curve)	2	2+ 5+ 19-	2+ -2 5+ -4  1 -4 -4 19-
Curve Equation t Generators 72200l1 [0,1,0,-633,4363] 1 [23:-50:1]&[-21:94:1]
72200m (2 curves)	2	2+ 5+ 19-	2+ -2 5+ -4  4 -4  2 19-
Curve Equation t Generators 72200m1 [0,1,0,-234968883,1387380424738] 2 [8309:93499:1]&[9753:153425:1] 72200m2 [0,1,0,-3760359508,88753610893488] 2 [29912:1742908:1]&[35423:6250:1]
72200n (1 curve)	0	2+ 5+ 19-	2+  3 5+  1  4  1  7 19-
Curve Equation t 72200n1 [0,0,0,-604675,-793929250] 1
72200o (1 curve)	0	2+ 5+ 19-	2+ -3 5+ -2  1  4 -5 19-
Curve Equation t 72200o1 [0,0,0,1805,68590] 1
72200p (1 curve)	0	2+ 5- 19+	2+ -2 5- -1 -5 -6 -4 19+
Curve Equation t 72200p1 [0,1,0,11432,3141168] 1
72200q (1 curve)	1	2+ 5- 19-	2+  0 5-  0 -1 -6 -3 19-
Curve Equation t Generators 72200q1 [0,0,0,-11875,498750] 1 [6:654:1]
72200r (2 curves)	1	2+ 5- 19-	2+  2 5- -2 -4  4  0 19-
Curve Equation t Generators 72200r1 [0,-1,0,-1203,6752] 2 [-86:1083:8] 72200r2 [0,-1,0,-10228,-390348] 2 [117:30:1]
72200s (1 curve)	1	2+ 5- 19-	2+ -2 5-  1 -5 -6  4 19-
Curve Equation t Generators 72200s1 [0,1,0,792,-56912] 1 [183:2500:1]
72200t (2 curves)	1	2+ 5- 19-	2+ -2 5- -2  4  0 -8 19-
Curve Equation t Generators 72200t1 [0,1,0,-217803,-38832302] 2 [-2118:4693:8] 72200t2 [0,1,0,-3475828,-2495383152] 2 [2303:41470:1]
72200u (1 curve)	0	2- 5+ 19+	2-  1 5+  2  5 -6  6 19+
Curve Equation t 72200u1 [0,1,0,-7945008,8662491488] 1
72200v (1 curve)	0	2- 5+ 19+	2- -1 5+  0  3 -2 -2 19+
Curve Equation t 72200v1 [0,-1,0,-3008,-115988] 1
72200w (1 curve)	0	2- 5+ 19+	2- -1 5+  0 -4  5  5 19+
Curve Equation t 72200w1 [0,-1,0,-3829608,2885835337] 1
72200x (1 curve)	0	2- 5+ 19+	2- -1 5+ -1  2  1  5 19+
Curve Equation t 72200x1 [0,-1,0,-41008,-3231988] 1
72200y (1 curve)	0	2- 5+ 19+	2-  2 5+  0  5  2  2 19+
Curve Equation t 72200y1 [0,-1,0,-12033,-323563] 1
72200z (1 curve)	0	2- 5+ 19+	2-  2 5+ -4  1  4 -4 19+
Curve Equation t 72200z1 [0,-1,0,-228633,-31297363] 1
72200ba (1 curve)	1	2- 5+ 19-	2-  0 5+  0 -1  6  3 19-
Curve Equation t Generators 72200ba1 [0,0,0,-475,3990] 1 [26:96:1]
72200bb (4 curves)	1	2- 5+ 19-	2-  0 5+  0 -4 -6  6 19-
Curve Equation t Generators 72200bb1 [0,0,0,-18050,-18004875] 2 [785:21250:1] 72200bb2 [0,0,0,-1146175,-468126750] 4 [9890:16575:8] 72200bb3 [0,0,0,-2048675,372100750] 2 [-12255:938600:27] 72200bb4 [0,0,0,-18293675,-30116154250] 2 [-719841632718:-1584702638:291434247]
72200bc (1 curve)	1	2- 5- 19+	2-  0 5-  0 -1  6 -3 19+
Curve Equation t Generators 72200bc1 [0,0,0,-4286875,-3420926250] 1 [2250058757393058191682717045563493032767084489956765233951795134034230:56987529321152489999798420194922212869391867396465122366095378644869504:833601034392064789515096298951340644376660730867899987109700646375]
72200bd (1 curve)	1	2- 5- 19+	2-  2 5-  1 -5  6  4 19+
Curve Equation t Generators 72200bd1 [0,-1,0,285792,392074412] 1 [-6795843202492790316637:744406014216813276195750:40416428843144142139]
72200be (1 curve)	0	2- 5- 19-	2-  2 5- -1 -5  6 -4 19-
Curve Equation t 72200be1 [0,-1,0,32,-468] 1
72200bf (2 curves)	0	2- 5- 19-	2-  2 5-  2  4  0  8 19-
Curve Equation t 72200bf1 [0,-1,0,-5445083,-4843147588] 2 72200bf2 [0,-1,0,-86895708,-311749102588] 2
72200bg (2 curves)	2	2- 5- 19-	2- -2 5-  2 -4 -4  0 19-
Curve Equation t Generators 72200bg1 [0,1,0,-30083,783838] 2 [-146:1444:1]&[-13:1083:1] 72200bg2 [0,1,0,-255708,-49304912] 2 [-298:722:1]&[614:5054:1]
72200bh (1 curve)	0	2- 5- 19-	2-  3 5-  2  1 -4  5 19-
Curve Equation t 72200bh1 [0,0,0,45125,8573750] 1

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