Cremona's table of elliptic curves

30400 = 2⁶ · 5² · 19

Class	r	Atkin-Lehner	Eigenvalues
30400a (1 curve)	1	2+ 5+ 19+	2+  0 5+  1 -3 -4  3 19+
Curve Equation t Generators 30400a1 [0,0,0,-50,250] 1 [9:23:1]
30400b (2 curves)	1	2+ 5+ 19+	2+  0 5+  2  4 -4 -6 19+
Curve Equation t Generators 30400b1 [0,0,0,-800,-3000] 2 [-15:75:1] 30400b2 [0,0,0,-10300,-402000] 2 [120:300:1]
30400c (2 curves)	1	2+ 5+ 19+	2+  1 5+  1  0 -1  3 19+
Curve Equation t Generators 30400c1 [0,1,0,-48033,-6255937] 1 [2467:122048:1] 30400c2 [0,1,0,-4448033,-3612255937] 1 [6291761763:198343439072:2146689]
30400d (3 curves)	1	2+ 5+ 19+	2+  1 5+  1  6  5 -3 19+
Curve Equation t Generators 30400d1 [0,1,0,-24833,1498463] 1 [98:125:1] 30400d2 [0,1,0,15167,5730463] 1 [-4074:4625:27] 30400d3 [0,1,0,-136833,-156757537] 1 [359904187038:-1218482136125:573856191]
30400e (1 curve)	1	2+ 5+ 19+	2+  1 5+ -3 -2  1  5 19+
Curve Equation t Generators 30400e1 [0,1,0,-833,-13537] 1 [98:925:1]
30400f (2 curves)	1	2+ 5+ 19+	2+ -2 5+  0  4  4  2 19+
Curve Equation t Generators 30400f1 [0,1,0,-3533,68563] 2 [-2:275:1] 30400f2 [0,1,0,5967,382063] 2 [74:1111:1]
30400g (3 curves)	1	2+ 5+ 19+	2+ -2 5+  1 -3 -4  3 19+
Curve Equation t Generators 30400g1 [0,1,0,67,13] 1 [4:19:1] 30400g2 [0,1,0,-933,-11987] 1 [1204:41781:1] 30400g3 [0,1,0,-76933,-8238987] 1 [1856467011204:-62948455845531:1524845951]
30400h (1 curve)	1	2+ 5+ 19+	2+ -3 5+  5  4 -1  3 19+
Curve Equation t Generators 30400h1 [0,0,0,-76300,8662000] 1 [126:-1024:1]
30400i (4 curves)	0	2+ 5+ 19-	2+  0 5+  0  4 -6  6 19-
Curve Equation t 30400i1 [0,0,0,-200,21000] 2 30400i2 [0,0,0,-12700,546000] 4 30400i3 [0,0,0,-22700,-434000] 2 30400i4 [0,0,0,-202700,35126000] 2
30400j (1 curve)	0	2+ 5+ 19-	2+  0 5+ -1  3 -4  3 19-
Curve Equation t 30400j1 [0,0,0,-50,-250] 1
30400k (1 curve)	0	2+ 5+ 19-	2+ -1 5+  1  0 -3  7 19-
Curve Equation t 30400k1 [0,-1,0,2367,83137] 1
30400l (2 curves)	2	2+ 5+ 19-	2+ -1 5+ -3 -2 -1 -3 19-
Curve Equation t Generators 30400l1 [0,-1,0,-33,75937] 1 [-39:128:1]&[-33:200:1] 30400l2 [0,-1,0,-112033,-15940063] 1 [392:475:1]&[601:-11552:1]
30400m (2 curves)	0	2+ 5+ 19-	2+  2 5+ -2  0  6 -2 19-
Curve Equation t 30400m1 [0,-1,0,-92133,10069637] 2 30400m2 [0,-1,0,88367,44545137] 2
30400n (1 curve)	0	2+ 5+ 19-	2+  2 5+  3 -5 -4  3 19-
Curve Equation t 30400n1 [0,-1,0,-2133,-37363] 1
30400o (2 curves)	0	2+ 5+ 19-	2+  2 5+ -4  4  0 -6 19-
Curve Equation t 30400o1 [0,-1,0,467,1437] 2 30400o2 [0,-1,0,-2033,13937] 2
30400p (1 curve)	0	2+ 5+ 19-	2+ -2 5+  3  3 -4 -5 19-
Curve Equation t 30400p1 [0,1,0,-133,3363] 1
30400q (2 curves)	0	2+ 5+ 19-	2+ -2 5+ -4 -4 -4  2 19-
Curve Equation t 30400q1 [0,1,0,-2603533,-1619131437] 2 30400q2 [0,1,0,-41666033,-103533193937] 2
30400r (1 curve)	0	2+ 5+ 19-	2+  3 5+  1 -4  1  7 19-
Curve Equation t 30400r1 [0,0,0,-6700,926000] 1
30400s (2 curves)	0	2+ 5- 19+	2+  0 5-  2  4  2  4 19+
Curve Equation t 30400s1 [0,0,0,20,1200] 2 30400s2 [0,0,0,-1580,23600] 2
30400t (2 curves)	0	2+ 5- 19+	2+  0 5- -2  4 -2 -4 19+
Curve Equation t 30400t1 [0,0,0,500,150000] 2 30400t2 [0,0,0,-39500,2950000] 2
30400u (2 curves)	0	2+ 5- 19+	2+  2 5-  4  0  2  4 19+
Curve Equation t 30400u1 [0,-1,0,-3208,-68838] 2 30400u2 [0,-1,0,-3833,-39463] 2
30400v (2 curves)	2	2+ 5- 19+	2+ -2 5- -4  0 -2 -4 19+
Curve Equation t Generators 30400v1 [0,1,0,-128,-602] 2 [13:10:1]&[73:620:1] 30400v2 [0,1,0,-153,-377] 2 [-7:20:1]&[-3:8:1]
30400w (2 curves)	1	2+ 5- 19-	2+  2 5-  2 -4  0  8 19-
Curve Equation t Generators 30400w1 [0,-1,0,-60333,5671037] 2 [3531:532:27] 30400w2 [0,-1,0,-962833,363963537] 2 [5251008:-9899:9261]
30400x (2 curves)	1	2+ 5- 19-	2+  2 5-  4  0 -2 -4 19-
Curve Equation t Generators 30400x1 [0,-1,0,-128,602] 2 [2238:3619:216] 30400x2 [0,-1,0,-153,377] 2 [32:165:1]
30400y (2 curves)	1	2+ 5- 19-	2+ -2 5- -2 -4  0 -8 19-
Curve Equation t Generators 30400y1 [0,1,0,-2413,44403] 2 [19:76:1] 30400y2 [0,1,0,-38513,2896303] 2 [114:19:1]
30400z (2 curves)	1	2+ 5- 19-	2+ -2 5- -4  0  2  4 19-
Curve Equation t Generators 30400z1 [0,1,0,-3208,68838] 2 [533:12250:1] 30400z2 [0,1,0,-3833,39463] 2 [9:76:1]
30400ba (4 curves)	0	2- 5+ 19+	2-  0 5+  0 -4 -6  6 19+
Curve Equation t 30400ba1 [0,0,0,-200,-21000] 2 30400ba2 [0,0,0,-12700,-546000] 4 30400ba3 [0,0,0,-22700,434000] 2 30400ba4 [0,0,0,-202700,-35126000] 2
30400bb (2 curves)	2	2- 5+ 19+	2-  0 5+  2 -4 -4 -6 19+
Curve Equation t Generators 30400bb1 [0,0,0,-1675,-3000] 2 [-20:150:1]&[680:17700:1] 30400bb2 [0,0,0,-17300,872000] 2 [460:-9500:1]&[-20:1100:1]
30400bc (1 curve)	0	2- 5+ 19+	2-  0 5+  5  5 -4  3 19+
Curve Equation t 30400bc1 [0,0,0,-350,-75750] 1
30400bd (1 curve)	0	2- 5+ 19+	2-  1 5+ -1  0 -3  7 19+
Curve Equation t 30400bd1 [0,1,0,2367,-83137] 1
30400be (1 curve)	0	2- 5+ 19+	2-  1 5+  3  0  5  3 19+
Curve Equation t 30400be1 [0,1,0,-4033,100063] 1
30400bf (2 curves)	0	2- 5+ 19+	2-  1 5+  3  2 -1 -3 19+
Curve Equation t 30400bf1 [0,1,0,-33,-75937] 1 30400bf2 [0,1,0,-112033,15940063] 1
30400bg (1 curve)	0	2- 5+ 19+	2-  2 5+ -3 -3 -4 -5 19+
Curve Equation t 30400bg1 [0,-1,0,-133,-3363] 1
30400bh (2 curves)	0	2- 5+ 19+	2-  2 5+  4  4 -4  2 19+
Curve Equation t 30400bh1 [0,-1,0,-2603533,1619131437] 2 30400bh2 [0,-1,0,-41666033,103533193937] 2
30400bi (2 curves)	0	2- 5+ 19+	2- -2 5+  2  0  6 -2 19+
Curve Equation t 30400bi1 [0,1,0,-92133,-10069637] 2 30400bi2 [0,1,0,88367,-44545137] 2
30400bj (1 curve)	0	2- 5+ 19+	2- -2 5+ -3  5 -4  3 19+
Curve Equation t 30400bj1 [0,1,0,-2133,37363] 1
30400bk (2 curves)	0	2- 5+ 19+	2- -2 5+  4 -4  0 -6 19+
Curve Equation t 30400bk1 [0,1,0,467,-1437] 2 30400bk2 [0,1,0,-2033,-13937] 2
30400bl (1 curve)	2	2- 5+ 19+	2- -3 5+ -1  2 -1 -3 19+
Curve Equation t Generators 30400bl1 [0,0,0,500,-2000] 1 [30:200:1]&[5:25:1]
30400bm (1 curve)	0	2- 5+ 19+	2- -3 5+ -1  4  1  7 19+
Curve Equation t 30400bm1 [0,0,0,-6700,-926000] 1
30400bn (2 curves)	1	2- 5+ 19-	2-  0 5+ -2  4 -4 -6 19-
Curve Equation t Generators 30400bn1 [0,0,0,-1675,3000] 2 [1020:32550:1] 30400bn2 [0,0,0,-17300,-872000] 2 [165:875:1]
30400bo (2 curves)	1	2- 5+ 19-	2-  0 5+ -2 -4 -4 -6 19-
Curve Equation t Generators 30400bo1 [0,0,0,-800,3000] 2 [-10:100:1] 30400bo2 [0,0,0,-10300,402000] 2 [80:300:1]
30400bp (1 curve)	1	2- 5+ 19-	2-  0 5+ -5 -5 -4  3 19-
Curve Equation t Generators 30400bp1 [0,0,0,-350,75750] 1 [41:361:1]
30400bq (2 curves)	1	2- 5+ 19-	2- -1 5+ -1  0 -1  3 19-
Curve Equation t Generators 30400bq1 [0,-1,0,-48033,6255937] 1 [157:1600:1] 30400bq2 [0,-1,0,-4448033,3612255937] 1 [957:15200:1]
30400br (3 curves)	1	2- 5+ 19-	2- -1 5+ -1 -6  5 -3 19-
Curve Equation t Generators 30400br1 [0,-1,0,-24833,-1498463] 1 [827:23300:1] 30400br2 [0,-1,0,15167,-5730463] 1 [187:1900:1] 30400br3 [0,-1,0,-136833,156757537] 1 [-293:13100:1]
30400bs (1 curve)	1	2- 5+ 19-	2- -1 5+  3  2  1  5 19-
Curve Equation t Generators 30400bs1 [0,-1,0,-833,13537] 1 [27:100:1]
30400bt (1 curve)	1	2- 5+ 19-	2- -1 5+ -3  0  5  3 19-
Curve Equation t Generators 30400bt1 [0,-1,0,-4033,-100063] 1 [77:200:1]
30400bu (2 curves)	1	2- 5+ 19-	2-  2 5+  0 -4  4  2 19-
Curve Equation t Generators 30400bu1 [0,-1,0,-3533,-68563] 2 [-4495:12924:125] 30400bu2 [0,-1,0,5967,-382063] 2 [10082520:-115999721:91125]
30400bv (3 curves)	1	2- 5+ 19-	2-  2 5+ -1  3 -4  3 19-
Curve Equation t Generators 30400bv1 [0,-1,0,67,-13] 1 [154:1413:343] 30400bv2 [0,-1,0,-933,11987] 1 [-34:57:1] 30400bv3 [0,-1,0,-76933,8238987] 1 [-234:3657:1]
30400bw (1 curve)	1	2- 5+ 19-	2-  3 5+  1 -2 -1 -3 19-
Curve Equation t Generators 30400bw1 [0,0,0,500,2000] 1 [-60:800:27]
30400bx (1 curve)	1	2- 5+ 19-	2-  3 5+ -5 -4 -1  3 19-
Curve Equation t Generators 30400bx1 [0,0,0,-76300,-8662000] 1 [5047770:97868800:9261]
30400by (2 curves)	1	2- 5- 19+	2-  2 5-  2  4  0 -8 19+
Curve Equation t Generators 30400by1 [0,-1,0,-2413,-44403] 2 [-20052:14615:729] 30400by2 [0,-1,0,-38513,-2896303] 2 [-4170563928:-8159041:36926037]
30400bz (2 curves)	1	2- 5- 19+	2- -2 5- -2  4  0  8 19+
Curve Equation t Generators 30400bz1 [0,1,0,-60333,-5671037] 2 [-50806:66625:343] 30400bz2 [0,1,0,-962833,-363963537] 2 [-427121786:4226321:753571]
30400ca (2 curves)	0	2- 5- 19-	2-  0 5-  2 -4 -2 -4 19-
Curve Equation t 30400ca1 [0,0,0,500,-150000] 2 30400ca2 [0,0,0,-39500,-2950000] 2
30400cb (2 curves)	0	2- 5- 19-	2-  0 5- -2 -4  2  4 19-
Curve Equation t 30400cb1 [0,0,0,20,-1200] 2 30400cb2 [0,0,0,-1580,-23600] 2

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