Cremona's table of elliptic curves

30056 = 2³ · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
30056a (2 curves)	1	2+ 13+ 17+	2+  0  0  4  0 13+ 17+  0
Curve Equation t Generators 30056a1 [0,0,0,-270215,-53954566] 2 [-402503210:-99442312:1295029] 30056a2 [0,0,0,-171955,-93710562] 2 [100827527742671442:-555072361221123144:170778360849641]
30056b (2 curves)	1	2+ 13+ 17+	2+  0  0 -4  0 13+ 17+  0
Curve Equation t Generators 30056b1 [0,0,0,-935,-10982] 2 [-18:4:1] 30056b2 [0,0,0,-595,-19074] 2 [50:276:1]
30056c (2 curves)	1	2+ 13+ 17+	2+  0 -4 -2  2 13+ 17+  4
Curve Equation t Generators 30056c1 [0,0,0,-6647,49130] 2 [187:2312:1] 30056c2 [0,0,0,-81787,8990790] 2 [238:1734:1]
30056d (2 curves)	0	2+ 13- 17+	2+  2  0 -2  6 13- 17+ -4
Curve Equation t 30056d1 [0,-1,0,-46779948,123166522100] 2 30056d2 [0,-1,0,-46878208,122623222908] 2
30056e (2 curves)	2	2+ 13- 17+	2+ -2  0  2 -6 13- 17+ -4
Curve Equation t Generators 30056e1 [0,1,0,-161868,25012384] 2 [118920:-4199:512]&[183:1246:1] 30056e2 [0,1,0,-162208,24901680] 2 [-244:7072:1]&[2026:2873:8]
30056f (2 curves)	2	2- 13+ 17+	2-  0  0  2 -6 13+ 17+ -8
Curve Equation t Generators 30056f1 [0,0,0,-2890,-14739] 2 [-50:69:1]&[102:867:1] 30056f2 [0,0,0,-27455,1739202] 2 [-187:578:1]&[-51:1734:1]
30056g (1 curve)	0	2- 13+ 17+	2- -1  1 -5  2 13+ 17+ -2
Curve Equation t 30056g1 [0,-1,0,-4720,-129076] 1
30056h (2 curves)	0	2- 13+ 17+	2-  2  2  4  4 13+ 17+  0
Curve Equation t 30056h1 [0,-1,0,-22927,-1307040] 2 30056h2 [0,-1,0,-47492,2014148] 2
30056i (2 curves)	0	2- 13+ 17+	2-  2 -2 -2  2 13+ 17+ -8
Curve Equation t 30056i1 [0,-1,0,-408164,-89679772] 2 30056i2 [0,-1,0,568656,-454228996] 2
30056j (2 curves)	0	2- 13+ 17+	2-  2 -2 -2 -4 13+ 17+  4
Curve Equation t 30056j1 [0,-1,0,-483304,129301308] 2 30056j2 [0,-1,0,-633584,42319244] 2
30056k (2 curves)	2	2- 13+ 17+	2- -2 -2 -4 -4 13+ 17+  0
Curve Equation t Generators 30056k1 [0,1,0,-79,-294] 2 [-5:1:1]&[10:4:1] 30056k2 [0,1,0,-164,352] 2 [-14:10:1]&[-6:34:1]
30056l (4 curves)	1	2- 13- 17+	2-  0 -2  0 -4 13- 17+  4
Curve Equation t Generators 30056l1 [0,0,0,-21386,1203685] 4 [44168:14265:512] 30056l2 [0,0,0,-22831,1031730] 4 [38:468:1] 30056l3 [0,0,0,52309,6396726] 2 [-85:1156:1] 30056l4 [0,0,0,-121091,-15338386] 2 [-170:578:1]

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

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