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SageMath
E = EllipticCurve("mm1")
E.isogeny_class()
Elliptic curves in class 141120mm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.gg1 | 141120mm1 | \([0, 0, 0, -588, 6608]\) | \(-19208/5\) | \(-5852528640\) | \([]\) | \(64512\) | \(0.59120\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120mm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120mm do not have complex multiplication.Modular form 141120.2.a.mm
sage: E.q_eigenform(10)