Elliptic Curves over \(\Q(\sqrt{-3}) \) of Conductor 54948.4

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Base field	Conductor norm	Isogenous curves	Base change curves	\(\Q\)-curves	CM curves
Torsion order	Isogeny degree	Torsion structure	j-invariant

Results (displaying all 14 matches)

Label	Base field	Conductor norm	Conductor label	Isogeny class	Weierstrass coefficients
54948.4-a1	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-a	\( \bigl[1\) , \( 1\) , \( a + 1\) , \( -5089 a - 433\) , \( -173652 a + 69858\bigr] \)
54948.4-a2	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-a	\( \bigl[1\) , \( 1\) , \( a + 1\) , \( -289 a - 113\) , \( -2644 a + 2082\bigr] \)
54948.4-b1	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-b	\( \bigl[a + 1\) , \( a\) , \( a\) , \( 5 a - 25\) , \( -25 a + 43\bigr] \)
54948.4-b2	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-b	\( \bigl[a + 1\) , \( a\) , \( a\) , \( 15 a - 35\) , \( 17 a + 1\bigr] \)
54948.4-c1	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-c	\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 33 a + 10\) , \( -57 a + 107\bigr] \)
54948.4-c2	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-c	\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 43 a\) , \( -109 a + 109\bigr] \)
54948.4-d1	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-d	\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -a\) , \( 4 a - 2\bigr] \)
54948.4-d2	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-d	\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -a + 40\) , \( 108 a - 58\bigr] \)
54948.4-e1	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-e	\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 5035 a - 21429\) , \( 402620 a - 1171280\bigr] \)
54948.4-e2	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-e	\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 315 a - 1339\) , \( 6384 a - 17824\bigr] \)
54948.4-e3	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-e	\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( -285 a - 99\) , \( 3184 a - 720\bigr] \)
54948.4-e4	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-e	\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 15 a + 1\) , \( -16 a - 24\bigr] \)
54948.4-e5	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-e	\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 15 a - 79\) , \( 144 a - 280\bigr] \)
54948.4-e6	\(\Q(\sqrt{-3}) \)	54948	54948.4	54948.4-e	\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 395 a - 1409\) , \( 3988 a - 15984\bigr] \)