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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 262558.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
262558.c1 | 262558c1 | \([1, -1, 1, -4855821, -4100350923]\) | \(2003092024307193/9529458688\) | \(60239168027295219712\) | \([]\) | \(26331480\) | \(2.6446\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 262558.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 262558.c do not have complex multiplication.Modular form 262558.2.a.c
sage: E.q_eigenform(10)