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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 71058e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71058.e1 | 71058e1 | \([1, 0, 1, -8925, 306040]\) | \(78610115651218633/4833681225984\) | \(4833681225984\) | \([]\) | \(179712\) | \(1.1857\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71058e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71058e do not have complex multiplication.Modular form 71058.2.a.e
sage: E.q_eigenform(10)