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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 88445.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.v1 | 88445n1 | \([0, 1, 1, 82549, 88621726]\) | \(32768/1805\) | \(-3426740142081194435\) | \([]\) | \(806400\) | \(2.2362\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88445.v do not have complex multiplication.Modular form 88445.2.a.v
sage: E.q_eigenform(10)