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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 87120eq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87120.n1 | 87120eq1 | \([0, 0, 0, -363, 8602]\) | \(-14641/80\) | \(-28904325120\) | \([]\) | \(69120\) | \(0.69133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87120eq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 87120eq do not have complex multiplication.Modular form 87120.2.a.eq
sage: E.q_eigenform(10)