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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 248773.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248773.c1 | 248773c1 | \([0, 0, 1, -343, -2144]\) | \(37933056/5077\) | \(597303973\) | \([]\) | \(571392\) | \(0.41156\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248773.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 248773.c do not have complex multiplication.Modular form 248773.2.a.c
sage: E.q_eigenform(10)