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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 54390.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54390.c1 | 54390c1 | \([1, 1, 0, -5140317928, -141515312370368]\) | \(2605609534839039045974276809/7178421592800000000000\) | \(41382171976595032800000000000\) | \([]\) | \(61471872\) | \(4.3641\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54390.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54390.c do not have complex multiplication.Modular form 54390.2.a.c
sage: E.q_eigenform(10)