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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 141120x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.lh1 | 141120x1 | \([0, 0, 0, -33222, 2333086]\) | \(-738763264/875\) | \(-4802902776000\) | \([]\) | \(276480\) | \(1.3449\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120x do not have complex multiplication.Modular form 141120.2.a.x
sage: E.q_eigenform(10)