Cremona's table of elliptic curves

22320 = 2⁴ · 3² · 5 · 31

Class	r	Atkin-Lehner	Eigenvalues
22320a (1 curve)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  1 -1  4 -2 -7
Curve Equation t 22320a1 [0,0,0,-9963,-383238] 1
22320b (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  4 -2 -2  2 -4
Curve Equation t 22320b1 [0,0,0,-123,-2822] 2 22320b2 [0,0,0,-3843,-91358] 2
22320c (1 curve)	1	2+ 3+ 5- 31-	2+ 3+ 5-  1  1  4  2 -7
Curve Equation t Generators 22320c1 [0,0,0,-1107,14194] 1 [23:30:1]
22320d (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5-  4  2 -2 -2 -4
Curve Equation t Generators 22320d1 [0,0,0,-1107,76194] 2 [3:270:1] 22320d2 [0,0,0,-34587,2466666] 2 [-33:1890:1]
22320e (4 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+  0 -4  2 -6 -4
Curve Equation t 22320e1 [0,0,0,-3258,-44793] 2 22320e2 [0,0,0,-46503,-3859002] 4 22320e3 [0,0,0,-40923,-4819878] 2 22320e4 [0,0,0,-744003,-247007502] 2
22320f (2 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+ -4  6 -6  4  0
Curve Equation t 22320f1 [0,0,0,-2163,-95038] 2 22320f2 [0,0,0,-47163,-3938038] 2
22320g (4 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  0  0 -2 -6 -4
Curve Equation t Generators 22320g1 [0,0,0,537,7238] 2 [-7:56:1] 22320g2 [0,0,0,-3963,76538] 4 [-59:324:1] 22320g3 [0,0,0,-20163,-1034782] 2 [-67:124:1] 22320g4 [0,0,0,-59763,5623058] 2 [143:34:1]
22320h (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -2 -2 -2  1 -1
Curve Equation t Generators 22320h1 [0,0,0,-346068,-78359508] 1 [367393443:18857192275:132651]
22320i (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -2 -2 -2  5 -1
Curve Equation t Generators 22320i1 [0,0,0,-228,1852] 1 [9:23:1]
22320j (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+  3  3 -2  0 -1
Curve Equation t Generators 22320j1 [0,0,0,-14754963,-21815004238] 1 [1097833889593:107277580977246:99252847]
22320k (4 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+ -4 -4 -6  2  4
Curve Equation t Generators 22320k1 [0,0,0,222,5083] 2 [3:76:1] 22320k2 [0,0,0,-3423,71422] 4 [-19:360:1] 22320k3 [0,0,0,-11523,-393518] 2 [-51:248:1] 22320k4 [0,0,0,-53643,4782058] 2 [59:1350:1]
22320l (4 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  0  0 -2  2  4
Curve Equation t Generators 22320l1 [0,0,0,-7887,746606] 2 [970:30096:1] 22320l2 [0,0,0,-180867,29565074] 4 [-367:6820:1] 22320l3 [0,0,0,-236667,9800714] 2 [-385:6622:1] 22320l4 [0,0,0,-2892747,1893711386] 4 [4007:233750:1]
22320m (1 curve)	1	2+ 3- 5- 31+	2+ 3- 5-  0  0 -2 -3 -1
Curve Equation t Generators 22320m1 [0,0,0,-64812,-6402116] 1 [1473:55625:1]
22320n (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  0  0  4  0 -4
Curve Equation t Generators 22320n1 [0,0,0,33,574] 2 [9:40:1] 22320n2 [0,0,0,-867,9394] 2 [5:72:1]
22320o (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  0  2  2  0  8
Curve Equation t Generators 22320o1 [0,0,0,-2907,66906] 2 [27:90:1] 22320o2 [0,0,0,-47907,4035906] 2 [157:-620:1]
22320p (2 curves)	1	2+ 3- 5- 31+	2+ 3- 5-  2  0  0 -2  0
Curve Equation t Generators 22320p1 [0,0,0,753,9614] 2 [-2:90:1] 22320p2 [0,0,0,-4827,95546] 2 [-53:450:1]
22320q (1 curve)	0	2+ 3- 5- 31-	2+ 3- 5-  1 -3 -6  4 -1
Curve Equation t 22320q1 [0,0,0,-2307,-54686] 1
22320r (2 curves)	0	2+ 3- 5- 31-	2+ 3- 5-  2  0  4  6  0
Curve Equation t 22320r1 [0,0,0,33,7486] 2 22320r2 [0,0,0,-5547,155914] 2
22320s (2 curves)	0	2+ 3- 5- 31-	2+ 3- 5-  4  4  4 -4 -4
Curve Equation t 22320s1 [0,0,0,-282,-281] 2 22320s2 [0,0,0,1113,-2234] 2
22320t (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  1 -3 -4 -6  1
Curve Equation t 22320t1 [0,0,0,-11403,-550342] 1 22320t2 [0,0,0,80757,3306042] 1
22320u (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  0 -2 -6  2  4
Curve Equation t Generators 22320u1 [0,0,0,-2257443,1360596258] 2 [-1689:18846:1] 22320u2 [0,0,0,-36540963,85019241762] 2 [125287:44295778:1]
22320v (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  0  4  6 -4 -8
Curve Equation t Generators 22320v1 [0,0,0,-17078283,-15894760518] 2 [3045165389400759949573861:371688464068160612891623424:190015856526206688193] 22320v2 [0,0,0,53700597,-113697016902] 2 [12381267727293153:3128709332880000000:196426902797]
22320w (1 curve)	1	2- 3+ 5+ 31-	2- 3+ 5+  3 -5  0  2  1
Curve Equation t Generators 22320w1 [0,0,0,-243,15282] 1 [57:432:1]
22320x (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+ -4 -4  2  0  0
Curve Equation t Generators 22320x1 [0,0,0,-123,-342] 2 [-9:6:1] 22320x2 [0,0,0,357,-2358] 2 [21:120:1]
22320y (1 curve)	1	2- 3+ 5+ 31-	2- 3+ 5+  5 -1 -4  6 -3
Curve Equation t Generators 22320y1 [0,0,0,-305403,73122858] 1 [-609:5766:1]
22320z (2 curves)	1	2- 3+ 5- 31+	2- 3+ 5-  1  3 -4  6  1
Curve Equation t Generators 22320z1 [0,0,0,8973,-122446] 1 [73:960:1] 22320z2 [0,0,0,-102627,14859234] 1 [17805:221184:125]
22320ba (2 curves)	0	2- 3+ 5- 31-	2- 3+ 5-  0  2 -6 -2  4
Curve Equation t 22320ba1 [0,0,0,-250827,-50392454] 2 22320ba2 [0,0,0,-4060107,-3148860806] 2
22320bb (2 curves)	0	2- 3+ 5- 31-	2- 3+ 5-  0 -4  6  4 -8
Curve Equation t 22320bb1 [0,0,0,-1897587,588694834] 2 22320bb2 [0,0,0,5966733,4211000626] 2
22320bc (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5-  3  5  0 -2  1
Curve Equation t 22320bc1 [0,0,0,-27,-566] 1
22320bd (2 curves)	0	2- 3+ 5- 31-	2- 3+ 5- -4  4  2  0  0
Curve Equation t 22320bd1 [0,0,0,-1107,9234] 2 22320bd2 [0,0,0,3213,63666] 2
22320be (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5-  5  1 -4 -6 -3
Curve Equation t 22320be1 [0,0,0,-2748627,-1974317166] 1
22320bf (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  1 -3  2  0 -5
Curve Equation t Generators 22320bf1 [0,0,0,357,-37942] 1 [31:54:1] 22320bf2 [0,0,0,-75243,-7945702] 1 [391:4734:1]
22320bg (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  2  2 -6  7  5
Curve Equation t Generators 22320bg1 [0,0,0,1392,16432] 1 [16203:397709:27] 22320bg2 [0,0,0,-121008,-16232528] 1 [330397378833664154064508887:6795942274396075654117751201:509603116425589076589063]
22320bh (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  2 -4  0 -2  8
Curve Equation t Generators 22320bh1 [0,0,0,-1083,32938] 2 [-19:216:1] 22320bh2 [0,0,0,-23403,1376602] 2 [71:270:1]
22320bi (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  2 -4 -4  0  0
Curve Equation t Generators 22320bi1 [0,0,0,-1308,-17917] 2 [7045:36952:125] 22320bi2 [0,0,0,-2703,27002] 2 [-2:180:1]
22320bj (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+ -2 -4 -4  6  0
Curve Equation t Generators 22320bj1 [0,0,0,322197,311564698] 2 [-337:12834:1] 22320bj2 [0,0,0,-5391723,4495296922] 2 [5807:411102:1]
22320bk (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+  4  2  2  0  0
Curve Equation t Generators 22320bk1 [0,0,0,357,13642] 2 [-3:112:1] 22320bk2 [0,0,0,-6843,205162] 2 [-43:648:1]
22320bl (2 curves)	1	2- 3- 5+ 31+	2- 3- 5+ -4  2  2  0  0
Curve Equation t Generators 22320bl1 [0,0,0,-1965243,1061931242] 2 [631:8550:1] 22320bl2 [0,0,0,-31456443,67906685162] 2 [4013:79360:1]
22320bm (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0  0 -2  4  4
Curve Equation t 22320bm1 [0,0,0,132,1267] 2 22320bm2 [0,0,0,-1263,14938] 2
22320bn (6 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0 -4  6 -2 -4
Curve Equation t 22320bn1 [0,0,0,8637,-1750462] 2 22320bn2 [0,0,0,-175683,-26781118] 4 22320bn3 [0,0,0,-532803,116709698] 2 22320bn4 [0,0,0,-2767683,-1772233918] 4 22320bn5 [0,0,0,-2724483,-1830234238] 2 22320bn6 [0,0,0,-44282883,-113423212798] 2
22320bo (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+  2  2  2  3  3
Curve Equation t 22320bo1 [0,0,0,72,108] 1
22320bp (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  2 -4 -4  0  0
Curve Equation t 22320bp1 [0,0,0,-9468,354483] 2 22320bp2 [0,0,0,-10863,243162] 2
22320bq (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  2 -4 -4 -2  8
Curve Equation t 22320bq1 [0,0,0,67317,-2541382] 2 22320bq2 [0,0,0,-289803,-21040198] 2
22320br (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+ -2 -4  4 -4  8
Curve Equation t 22320br1 [0,0,0,-228,767] 2 22320br2 [0,0,0,-1623,-24622] 2
22320bs (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+ -3  3 -2 -8  7
Curve Equation t 22320bs1 [0,0,0,14037,351322] 1
22320bt (4 curves)	0	2- 3- 5+ 31-	2- 3- 5+  4 -4  2  6  4
Curve Equation t 22320bt1 [0,0,0,-1443,-21022] 2 22320bt2 [0,0,0,-2163,2162] 4 22320bt3 [0,0,0,8637,17282] 2 22320bt4 [0,0,0,-24483,1470818] 2
22320bu (2 curves)	0	2- 3- 5- 31+	2- 3- 5-  0 -6 -2  4  0
Curve Equation t 22320bu1 [0,0,0,5613,39634] 2 22320bu2 [0,0,0,-23187,321874] 2
22320bv (4 curves)	0	2- 3- 5- 31+	2- 3- 5- -2  0 -4 -6 -8
Curve Equation t 22320bv1 [0,0,0,200013,-38629006] 2 22320bv2 [0,0,0,-1228467,-376607374] 2 22320bv3 [0,0,0,-5709747,-5282825614] 2 22320bv4 [0,0,0,-91507827,-336926724046] 2
22320bw (1 curve)	0	2- 3- 5- 31+	2- 3- 5-  3  3 -2  4  3
Curve Equation t 22320bw1 [0,0,0,-29307,-2181206] 1
22320bx (2 curves)	0	2- 3- 5- 31+	2- 3- 5-  4  0  2  3  7
Curve Equation t 22320bx1 [0,0,0,-912,10604] 1 22320bx2 [0,0,0,528,39836] 1
22320by (4 curves)	0	2- 3- 5- 31+	2- 3- 5-  4  0 -4  0  4
Curve Equation t 22320by1 [0,0,0,-15267,741026] 2 22320by2 [0,0,0,-245667,46867106] 2 22320by3 [0,0,0,65373,3176354] 2 22320by4 [0,0,0,-294627,26864354] 2
22320bz (2 curves)	0	2- 3- 5- 31+	2- 3- 5- -4  4  0  8 -4
Curve Equation t 22320bz1 [0,0,0,-147,-2414] 2 22320bz2 [0,0,0,-3747,-88094] 2
22320ca (2 curves)	1	2- 3- 5- 31-	2- 3- 5-  0  2  0 -2  4
Curve Equation t Generators 22320ca1 [0,0,0,-9507,-368606] 2 [158:1440:1] 22320ca2 [0,0,0,-153507,-23149406] 2 [798:19040:1]
22320cb (4 curves)	1	2- 3- 5- 31-	2- 3- 5-  0 -4  6 -2  4
Curve Equation t Generators 22320cb1 [0,0,0,-15627,-668486] 2 [-9170:36036:125] 22320cb2 [0,0,0,-61707,5202106] 4 [-193:3150:1] 22320cb3 [0,0,0,93813,27192634] 4 [-171:2480:1] 22320cb4 [0,0,0,-954507,358929466] 2 [1791:66290:1]
22320cc (1 curve)	1	2- 3- 5- 31-	2- 3- 5-  0 -4 -6 -5  1
Curve Equation t Generators 22320cc1 [0,0,0,-192,1456] 1 [-15:31:1]
22320cd (1 curve)	1	2- 3- 5- 31-	2- 3- 5- -1  5  2  4 -1
Curve Equation t Generators 22320cd1 [0,0,0,-1497707787,23118580917434] 1 [81463:21017070:1]
22320ce (2 curves)	1	2- 3- 5- 31-	2- 3- 5-  2  0  4 -6  0
Curve Equation t Generators 22320ce1 [0,0,0,-5907,-179246] 2 [95:342:1] 22320ce2 [0,0,0,-95187,-11303534] 2 [3071:169290:1]
22320cf (1 curve)	1	2- 3- 5- 31-	2- 3- 5- -3  5 -6  4 -5
Curve Equation t Generators 22320cf1 [0,0,0,-3319347,2339804914] 1 [2393:90000:1]
22320cg (4 curves)	1	2- 3- 5- 31-	2- 3- 5- -4 -4  2 -2 -4
Curve Equation t Generators 22320cg1 [0,0,0,-35067,2527274] 2 [13:1440:1] 22320cg2 [0,0,0,-37947,2087786] 4 [-83:2160:1] 22320cg3 [0,0,0,95973,13524554] 2 [103:4950:1] 22320cg4 [0,0,0,-217947,-37476214] 2 [-283:1240:1]

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