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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 5776.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5776.p1 | 5776p1 | \([0, -1, 0, -7701, -258583]\) | \(-4194304/19\) | \(-228831165184\) | \([]\) | \(8640\) | \(1.0313\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5776.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5776.p do not have complex multiplication.Modular form 5776.2.a.p
sage: E.q_eigenform(10)