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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 381150c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.c1 | 381150c1 | \([1, -1, 0, -337167, -77949459]\) | \(-6989949220475/292626432\) | \(-177459458964480000\) | \([]\) | \(7907328\) | \(2.0766\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 381150c do not have complex multiplication.Modular form 381150.2.a.c
sage: E.q_eigenform(10)