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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 221067.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221067.v1 | 221067w1 | \([0, 0, 1, -31944, 13458739]\) | \(-23068672/487403\) | \(-76165308861835347\) | \([]\) | \(1584000\) | \(1.9202\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 221067.v do not have complex multiplication.Modular form 221067.2.a.v
sage: E.q_eigenform(10)