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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 29400.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.v1 | 29400x1 | \([0, -1, 0, -59208, -5685588]\) | \(-2390122/81\) | \(-777924000000000\) | \([]\) | \(145920\) | \(1.6312\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29400.v do not have complex multiplication.Modular form 29400.2.a.v
sage: E.q_eigenform(10)