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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 21964c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21964.a1 | 21964c1 | \([0, 1, 0, -6165, -189113]\) | \(-4194304/19\) | \(-117405135616\) | \([]\) | \(30240\) | \(0.97568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21964c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21964c do not have complex multiplication.Modular form 21964.2.a.c
sage: E.q_eigenform(10)