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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 2142.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2142.q1 | 2142s1 | \([1, -1, 1, -131378, 18407985]\) | \(-344002044213921241/1011143540736\) | \(-737123641196544\) | \([]\) | \(16320\) | \(1.7231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2142.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2142.q do not have complex multiplication.Modular form 2142.2.a.q
sage: E.q_eigenform(10)