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SageMath
E = EllipticCurve("lf1")
E.isogeny_class()
Elliptic curves in class 141120.lf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.lf1 | 141120ix1 | \([0, 0, 0, -8652, 360304]\) | \(-15298178/3125\) | \(-14631321600000\) | \([]\) | \(276480\) | \(1.2485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120.lf1 has rank \(2\).
Complex multiplication
The elliptic curves in class 141120.lf do not have complex multiplication.Modular form 141120.2.a.lf
sage: E.q_eigenform(10)