Cremona's table of elliptic curves

4650 = 2 · 3 · 5² · 31

Class	r	Atkin-Lehner	Eigenvalues
4650a (6 curves)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  0 -4 -6 -2  4
Curve Equation t Generators 4650a1 [1,1,0,1500,-126000] 2 [45:165:1] 4650a2 [1,1,0,-30500,-1950000] 4 [-89:308:1] 4650a3 [1,1,0,-480500,-128400000] 4 [1405:43710:1] 4650a4 [1,1,0,-92500,8404000] 2 [340:3880:1] 4650a5 [1,1,0,-7688000,-8208007500] 2 [5041355:171168535:1331] 4650a6 [1,1,0,-473000,-132592500] 2 [9631195:299949990:6859]
4650b (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+ -2  2 -4 -1  4
Curve Equation t Generators 4650b1 [1,1,0,5,-35] 1 [6:13:1]
4650c (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  3 -1 -3  4 -2
Curve Equation t Generators 4650c1 [1,1,0,-10,10] 1 [1:1:1]
4650d (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+ -5 -1  5 -4 -2
Curve Equation t Generators 4650d1 [1,1,0,-2019280,-1105283840] 1 [122763902:480845562095:8]
4650e (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  2 -3  1 -3 -5
Curve Equation t 4650e1 [1,1,0,375,1125] 1 4650e2 [1,1,0,-34875,-2522625] 1
4650f (4 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+ -2  0  4 -6  8
Curve Equation t 4650f1 [1,1,0,34725,-2779875] 2 4650f2 [1,1,0,-213275,-27331875] 2 4650f3 [1,1,0,-991275,-382561875] 2 4650f4 [1,1,0,-15886775,-24379212375] 2
4650g (2 curves)	0	2+ 3+ 5- 31+	2+ 3+ 5- -2 -6  2 -6  8
Curve Equation t 4650g1 [1,1,0,-12585,-582075] 2 4650g2 [1,1,0,-204785,-35754675] 2
4650h (1 curve)	0	2+ 3+ 5- 31+	2+ 3+ 5-  5 -1  0 -4  3
Curve Equation t 4650h1 [1,1,0,45,-2025] 1
4650i (1 curve)	1	2+ 3+ 5- 31-	2+ 3+ 5- -1  5 -1  0  0
Curve Equation t Generators 4650i1 [1,1,0,-15825,-772875] 1 [399:7326:1]
4650j (1 curve)	1	2+ 3+ 5- 31-	2+ 3+ 5- -1 -5  4  0 -5
Curve Equation t Generators 4650j1 [1,1,0,-2700,54000] 1 [35:45:1]
4650k (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5-  2  2 -4 -3  0
Curve Equation t Generators 4650k1 [1,1,0,1250,-40700] 1 [24:50:1] 4650k2 [1,1,0,-125075,17182125] 1 [-266:5765:1]
4650l (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5-  2 -2 -2  6 -8
Curve Equation t Generators 4650l1 [1,1,0,-710,-177900] 2 [229:3311:1] 4650l2 [1,1,0,-51910,-4529900] 2 [-129:266:1]
4650m (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5- -3 -3  1  2  0
Curve Equation t Generators 4650m1 [1,1,0,-2375,-71475] 1 [65:200:1] 4650m2 [1,1,0,-35700,7794000] 1 [-165:3120:1]
4650n (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+ -1 -3 -1  0 -6
Curve Equation t 4650n1 [1,0,1,929,-3982] 1
4650o (2 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  2  0 -4 -6  0
Curve Equation t 4650o1 [1,0,1,-1026,-13052] 2 4650o2 [1,0,1,-16526,-819052] 2
4650p (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+  3  5  3  4  2
Curve Equation t 4650p1 [1,0,1,2174,-50452] 1
4650q (1 curve)	0	2+ 3- 5+ 31+	2+ 3- 5+ -3  5  6  4  5
Curve Equation t 4650q1 [1,0,1,-576276,169208698] 1
4650r (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  0 -6  2  4  0
Curve Equation t Generators 4650r1 [1,0,1,974,2948] 2 [22:176:1] 4650r2 [1,0,1,-4026,22948] 2 [-28:351:1]
4650s (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5- -1 -3  4  0 -1
Curve Equation t Generators 4650s1 [1,0,1,554,9488] 1 [-8:71:1]
4650t (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  2  0 -2  0 -4
Curve Equation t Generators 4650t1 [1,0,1,-576,-1202] 2 [-14:71:1] 4650t2 [1,0,1,-5576,158798] 2 [-48:586:1]
4650u (1 curve)	0	2+ 3- 5- 31-	2+ 3- 5-  1 -1 -1  6  0
Curve Equation t 4650u1 [1,0,1,299,2048] 1
4650v (2 curves)	0	2+ 3- 5- 31-	2+ 3- 5- -1  3  5  0 -4
Curve Equation t 4650v1 [1,0,1,-576,13798] 3 4650v2 [1,0,1,5049,-323702] 1
4650w (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+ -1  5 -2  4  1
Curve Equation t 4650w1 [1,1,1,-260018713,1672242709031] 1
4650x (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  2 -4  4 -2 -8
Curve Equation t 4650x1 [1,1,1,11687,-178969] 2 4650x2 [1,1,1,-50313,-1542969] 2
4650y (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+  2  5  7  1  7
Curve Equation t 4650y1 [1,1,1,-413,-3469] 1
4650z (4 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+ -4 -4 -2 -2  4
Curve Equation t 4650z1 [1,1,1,-6088,180281] 4 4650z2 [1,1,1,-6588,148281] 4 4650z3 [1,1,1,-37838,-2726719] 2 4650z4 [1,1,1,16662,985281] 2
4650ba (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  1  3 -5  0 -4
Curve Equation t Generators 4650ba1 [1,1,1,-23,101] 1 [9:22:1] 4650ba2 [1,1,1,202,-2509] 1 [81:703:1]
4650bb (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  1 -3 -2  0  5
Curve Equation t Generators 4650bb1 [1,1,1,62,-2719] 1 [110:191:8] 4650bb2 [1,1,1,-13063,-580219] 1 [145:702:1]
4650bc (1 curve)	1	2- 3+ 5+ 31-	2- 3+ 5+ -1 -1  1 -6  0
Curve Equation t Generators 4650bc1 [1,1,1,12,21] 1 [1:5:1]
4650bd (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+ -4  2 -2  0  0
Curve Equation t Generators 4650bd1 [1,1,1,-341188,76675781] 2 [125:5937:1] 4650bd2 [1,1,1,-5461188,4909955781] 2 [1405:-4303:1]
4650be (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5-  1 -3  1  0 -6
Curve Equation t Generators 4650be1 [1,1,1,23237,-497719] 1 [35:582:1]
4650bf (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5-  1 -3 -4  0 -1
Curve Equation t Generators 4650bf1 [1,1,1,13862,1186031] 1 [-65:157:1]
4650bg (2 curves)	1	2- 3+ 5- 31+	2- 3+ 5- -2  0  2  0 -4
Curve Equation t Generators 4650bg1 [1,1,1,-23,-19] 2 [-1:2:1] 4650bg2 [1,1,1,-223,1181] 2 [1:30:1]
4650bh (1 curve)	1	2- 3+ 5- 31+	2- 3+ 5- -3  5 -3 -4  2
Curve Equation t Generators 4650bh1 [1,1,1,87,-369] 1 [25:122:1]
4650bi (4 curves)	1	2- 3- 5+ 31+	2- 3- 5+  0 -4 -6 -2 -4
Curve Equation t Generators 4650bi1 [1,0,0,-2713,-48583] 2 [-28:89:1] 4650bi2 [1,0,0,-10713,375417] 4 [-18:759:1] 4650bi3 [1,0,0,-165713,25950417] 2 [-68:6109:1] 4650bi4 [1,0,0,16287,1968417] 2 [72:1839:1]
4650bj (1 curve)	1	2- 3- 5+ 31+	2- 3- 5+ -3  3  2 -8 -7
Curve Equation t Generators 4650bj1 [1,0,0,2437,25617] 1 [142:-1871:1]
4650bk (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+  1  5  1  0  0
Curve Equation t 4650bk1 [1,0,0,-633,-6183] 1
4650bl (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+ -2  2  4  3  0
Curve Equation t 4650bl1 [1,0,0,-5003,137457] 5 4650bl2 [1,0,0,31237,-5149983] 1
4650bm (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+ -2  3 -3 -1  7
Curve Equation t 4650bm1 [1,0,0,-2088,-41958] 1
4650bn (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+ -2 -4  4  6  0
Curve Equation t 4650bn1 [1,0,0,55937,22542617] 2 4650bn2 [1,0,0,-936063,325102617] 2
4650bo (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+  3  3  2  4 -3
Curve Equation t 4650bo1 [1,0,0,-5088,-158208] 1
4650bp (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  3 -3 -1 -2  0
Curve Equation t 4650bp1 [1,0,0,-1428,62352] 5 4650bp2 [1,0,0,-59388,-8815608] 1
4650bq (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  4  2 -2  0  0
Curve Equation t 4650bq1 [1,0,0,62,992] 2 4650bq2 [1,0,0,-1188,14742] 2
4650br (1 curve)	0	2- 3- 5- 31+	2- 3- 5-  2  2  4  1  4
Curve Equation t 4650br1 [1,0,0,112,-4608] 1
4650bs (2 curves)	0	2- 3- 5- 31+	2- 3- 5-  2 -6 -2  6  8
Curve Equation t 4650bs1 [1,0,0,-314638,-72130108] 2 4650bs2 [1,0,0,-5119638,-4459095108] 2
4650bt (1 curve)	0	2- 3- 5- 31+	2- 3- 5- -3 -1  3 -4 -2
Curve Equation t 4650bt1 [1,0,0,-263,1767] 1
4650bu (1 curve)	0	2- 3- 5- 31+	2- 3- 5-  5 -1 -5  4 -2
Curve Equation t 4650bu1 [1,0,0,-50482013,-138059515983] 1
4650bv (1 curve)	0	2- 3- 5- 31+	2- 3- 5- -5 -1  0  4  3
Curve Equation t 4650bv1 [1,0,0,1112,-255358] 1
4650bw (1 curve)	1	2- 3- 5- 31-	2- 3- 5-  1 -5 -4  0 -5
Curve Equation t Generators 4650bw1 [1,0,0,-108,432] 1 [12:24:1]
4650bx (2 curves)	1	2- 3- 5- 31-	2- 3- 5- -2 -2  2 -6 -8
Curve Equation t Generators 4650bx1 [1,0,0,-17763,-22201983] 2 [558:11625:1] 4650bx2 [1,0,0,-1297763,-563641983] 2 [-674:2569:1]

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