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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2142.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2142.f1 | 2142c1 | \([1, -1, 0, 156, -144]\) | \(15494117157/9143008\) | \(-246861216\) | \([]\) | \(800\) | \(0.29973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2142.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2142.f do not have complex multiplication.Modular form 2142.2.a.f
sage: E.q_eigenform(10)