Cremona's table of elliptic curves

30528 = 2⁶ · 3² · 53

Class	r	Atkin-Lehner	Eigenvalues
30528a (1 curve)	1	2+ 3+ 53+	2+ 3+  2 -3 -1  2 -2  7
Curve Equation t Generators 30528a1 [0,0,0,-684,12592] 1 [86:768:1]
30528b (2 curves)	1	2+ 3+ 53+	2+ 3+  2  4 -2 -2  0  4
Curve Equation t Generators 30528b1 [0,0,0,756,-49680] 2 [1288490:-576512:42875] 30528b2 [0,0,0,-16524,-775440] 2 [18470:11872:125]
30528c (1 curve)	0	2+ 3+ 53-	2+ 3+ -2 -3  1  2  2  7
Curve Equation t 30528c1 [0,0,0,-6156,-339984] 1
30528d (2 curves)	0	2+ 3+ 53-	2+ 3+ -2  4  2 -2  0  4
Curve Equation t 30528d1 [0,0,0,84,1840] 2 30528d2 [0,0,0,-1836,28720] 2
30528e (1 curve)	0	2+ 3- 53+	2+ 3-  0  1  5  0 -2  1
Curve Equation t 30528e1 [0,0,0,1140,105712] 1
30528f (1 curve)	0	2+ 3- 53+	2+ 3-  0 -4  0  3  3  5
Curve Equation t 30528f1 [0,0,0,180,-4752] 1
30528g (2 curves)	0	2+ 3- 53+	2+ 3-  0 -4  0 -5  3  1
Curve Equation t 30528g1 [0,0,0,-163020,32174192] 1 30528g2 [0,0,0,-14171340,20533571696] 1
30528h (2 curves)	0	2+ 3- 53+	2+ 3-  0  5 -3  4 -6 -5
Curve Equation t 30528h1 [0,0,0,-34860,-2506192] 1 30528h2 [0,0,0,25620,-9933136] 1
30528i (1 curve)	0	2+ 3- 53+	2+ 3- -1  0 -1  2  7 -2
Curve Equation t 30528i1 [0,0,0,3732,162736] 1
30528j (1 curve)	0	2+ 3- 53+	2+ 3- -1  4  3  6  3  2
Curve Equation t 30528j1 [0,0,0,-29388,1939664] 1
30528k (1 curve)	0	2+ 3- 53+	2+ 3- -1 -4 -3  6  3 -2
Curve Equation t 30528k1 [0,0,0,-29388,-1939664] 1
30528l (2 curves)	0	2+ 3- 53+	2+ 3-  2  0 -4  2 -2 -2
Curve Equation t 30528l1 [0,0,0,-624,5992] 2 30528l2 [0,0,0,-444,9520] 2
30528m (2 curves)	0	2+ 3- 53+	2+ 3-  3  2 -3  4 -3  4
Curve Equation t 30528m1 [0,0,0,564,-12688] 1 30528m2 [0,0,0,-5196,390512] 1
30528n (1 curve)	0	2+ 3- 53+	2+ 3- -4  0 -4 -1 -5  7
Curve Equation t 30528n1 [0,0,0,-4332,-111440] 1
30528o (1 curve)	0	2+ 3- 53+	2+ 3- -4  4  0  3  3 -7
Curve Equation t 30528o1 [0,0,0,33,20] 1
30528p (1 curve)	0	2+ 3- 53+	2+ 3- -4 -4  0  3  3  7
Curve Equation t 30528p1 [0,0,0,33,-20] 1
30528q (1 curve)	1	2+ 3- 53-	2+ 3-  1  2 -3  0 -3 -8
Curve Equation t Generators 30528q1 [0,0,0,-12,-1712] 1 [44:288:1]
30528r (1 curve)	1	2+ 3- 53-	2+ 3-  1 -2  3  0 -3  8
Curve Equation t Generators 30528r1 [0,0,0,-12,1712] 1 [-8:36:1]
30528s (1 curve)	1	2+ 3- 53-	2+ 3-  1 -2  5  4 -3  4
Curve Equation t Generators 30528s1 [0,0,0,-15852,768688] 1 [68:72:1]
30528t (1 curve)	1	2+ 3- 53-	2+ 3- -2 -2  2  7  3 -5
Curve Equation t Generators 30528t1 [0,0,0,-156,-1424] 1 [18:40:1]
30528u (4 curves)	1	2+ 3- 53-	2+ 3- -2  4  0 -6  6 -4
Curve Equation t Generators 30528u1 [0,0,0,-1551,-59956] 2 [478821508:-497985460:9129329] 30528u2 [0,0,0,-34356,-2448160] 4 [-146366:10640:1331] 30528u3 [0,0,0,-44076,-951280] 4 [-22:88:1] 30528u4 [0,0,0,-549516,-156790096] 2 [402607948:97534510920:6859]
30528v (4 curves)	1	2+ 3- 53-	2+ 3- -2 -4  0 -6  6  4
Curve Equation t Generators 30528v1 [0,0,0,-1551,59956] 2 [48:310:1] 30528v2 [0,0,0,-34356,2448160] 4 [29:1215:1] 30528v3 [0,0,0,-44076,951280] 2 [-114:2120:1] 30528v4 [0,0,0,-549516,156790096] 4 [453:905:1]
30528w (1 curve)	1	2+ 3- 53-	2+ 3- -3  4  3  2  7 -6
Curve Equation t Generators 30528w1 [0,0,0,-1164,18416] 1 [-2:144:1]
30528x (1 curve)	1	2+ 3- 53-	2+ 3- -3 -4 -5  2 -5 -6
Curve Equation t Generators 30528x1 [0,0,0,-6924,-693776] 1 [446:9216:1]
30528y (1 curve)	1	2+ 3- 53-	2+ 3-  4  1 -1  4 -6  1
Curve Equation t Generators 30528y1 [0,0,0,81492,-1672400] 1 [196030:7888896:125]
30528z (1 curve)	1	2+ 3- 53-	2+ 3-  4  1 -5  0 -2 -5
Curve Equation t Generators 30528z1 [0,0,0,-588,-8080] 1 [40:180:1]
30528ba (1 curve)	0	2- 3+ 53+	2- 3+  2  3  1  2 -2 -7
Curve Equation t 30528ba1 [0,0,0,-684,-12592] 1
30528bb (2 curves)	0	2- 3+ 53+	2- 3+  2 -4  2 -2  0 -4
Curve Equation t 30528bb1 [0,0,0,756,49680] 2 30528bb2 [0,0,0,-16524,775440] 2
30528bc (1 curve)	0	2- 3+ 53+	2- 3+  2  5  3  6  6 -7
Curve Equation t 30528bc1 [0,0,0,756,-3888] 1
30528bd (1 curve)	0	2- 3+ 53+	2- 3+  2 -5 -3  6  6  7
Curve Equation t 30528bd1 [0,0,0,756,3888] 1
30528be (1 curve)	1	2- 3+ 53-	2- 3+ -2  3 -1  2  2 -7
Curve Equation t Generators 30528be1 [0,0,0,-6156,339984] 1 [60:432:1]
30528bf (2 curves)	1	2- 3+ 53-	2- 3+ -2 -4 -2 -2  0 -4
Curve Equation t Generators 30528bf1 [0,0,0,84,-1840] 2 [16:60:1] 30528bf2 [0,0,0,-1836,-28720] 2 [-22:32:1]
30528bg (1 curve)	1	2- 3+ 53-	2- 3+ -2  5 -3  6 -6 -7
Curve Equation t Generators 30528bg1 [0,0,0,84,144] 1 [0:12:1]
30528bh (1 curve)	1	2- 3+ 53-	2- 3+ -2 -5  3  6 -6  7
Curve Equation t Generators 30528bh1 [0,0,0,84,-144] 1 [6:-24:1]
30528bi (1 curve)	1	2- 3- 53+	2- 3-  0 -1 -5  0 -2 -1
Curve Equation t Generators 30528bi1 [0,0,0,1140,-105712] 1 [76:648:1]
30528bj (1 curve)	1	2- 3- 53+	2- 3-  0  4  0  3  3 -5
Curve Equation t Generators 30528bj1 [0,0,0,180,4752] 1 [34:224:1]
30528bk (2 curves)	1	2- 3- 53+	2- 3-  0  4  0 -5  3 -1
Curve Equation t Generators 30528bk1 [0,0,0,-163020,-32174192] 1 [25484334834:11860829929472:117649] 30528bk2 [0,0,0,-14171340,-20533571696] 1 [413229423747072258868243758:-192300659108104701458147837440:1907568396044352157823]
30528bl (2 curves)	1	2- 3- 53+	2- 3-  0 -5  3  4 -6  5
Curve Equation t Generators 30528bl1 [0,0,0,-34860,2506192] 1 [74:576:1] 30528bl2 [0,0,0,25620,9933136] 1 [794:23040:1]
30528bm (1 curve)	1	2- 3- 53+	2- 3- -1  0  1  2  7  2
Curve Equation t Generators 30528bm1 [0,0,0,3732,-162736] 1 [154:2016:1]
30528bn (2 curves)	1	2- 3- 53+	2- 3-  2  0  4  2 -2  2
Curve Equation t Generators 30528bn1 [0,0,0,-624,-5992] 2 [15070:161588:125] 30528bn2 [0,0,0,-444,-9520] 2 [478:10440:1]
30528bo (2 curves)	1	2- 3- 53+	2- 3-  3 -2  3  4 -3 -4
Curve Equation t Generators 30528bo1 [0,0,0,564,12688] 1 [32:252:1] 30528bo2 [0,0,0,-5196,-390512] 1 [16480:137844:125]
30528bp (1 curve)	1	2- 3- 53+	2- 3- -4  0  4 -1 -5 -7
Curve Equation t Generators 30528bp1 [0,0,0,-4332,111440] 1 [26:128:1]
30528bq (1 curve)	0	2- 3- 53-	2- 3-  0  3  1  4  6 -1
Curve Equation t 30528bq1 [0,0,0,-6060,-743056] 1
30528br (1 curve)	0	2- 3- 53-	2- 3-  0 -3 -1  4  6  1
Curve Equation t 30528br1 [0,0,0,-6060,743056] 1
30528bs (1 curve)	0	2- 3- 53-	2- 3-  1  2 -5  4 -3 -4
Curve Equation t 30528bs1 [0,0,0,-15852,-768688] 1
30528bt (1 curve)	0	2- 3- 53-	2- 3- -2  2 -2  7  3  5
Curve Equation t 30528bt1 [0,0,0,-156,1424] 1
30528bu (1 curve)	0	2- 3- 53-	2- 3- -2  2  6  3  3 -1
Curve Equation t 30528bu1 [0,0,0,-171,864] 1
30528bv (1 curve)	0	2- 3- 53-	2- 3- -2 -2 -6  3  3  1
Curve Equation t 30528bv1 [0,0,0,-171,-864] 1
30528bw (1 curve)	0	2- 3- 53-	2- 3- -3  4  5  2 -5  6
Curve Equation t 30528bw1 [0,0,0,-6924,693776] 1
30528bx (1 curve)	0	2- 3- 53-	2- 3- -3 -4 -3  2  7  6
Curve Equation t 30528bx1 [0,0,0,-1164,-18416] 1
30528by (1 curve)	0	2- 3- 53-	2- 3-  4 -1  1  4 -6 -1
Curve Equation t 30528by1 [0,0,0,81492,1672400] 1
30528bz (1 curve)	0	2- 3- 53-	2- 3-  4 -1  5  0 -2  5
Curve Equation t 30528bz1 [0,0,0,-588,8080] 1

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

Part of Computational Number Theory
Back to Tables and computations