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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 58800eq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.jw1 | 58800eq1 | \([0, 1, 0, -15108, -719937]\) | \(-324179200/63\) | \(-74118870000\) | \([]\) | \(129024\) | \(1.0857\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800eq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58800eq do not have complex multiplication.Modular form 58800.2.a.eq
sage: E.q_eigenform(10)