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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 27584.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27584.v1 | 27584x1 | \([0, 1, 0, 95, 991]\) | \(357911/1724\) | \(-451936256\) | \([]\) | \(6144\) | \(0.34306\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27584.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 27584.v do not have complex multiplication.Modular form 27584.2.a.v
sage: E.q_eigenform(10)