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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 205350.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
205350.c1 | 205350dl1 | \([1, 1, 0, -7054485, 7208947125]\) | \(-88429250861/648\) | \(-284510835767601000\) | \([]\) | \(9974016\) | \(2.5261\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 205350.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 205350.c do not have complex multiplication.Modular form 205350.2.a.c
sage: E.q_eigenform(10)