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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 142956q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142956.x1 | 142956q1 | \([0, 0, 0, -432117, 109078677]\) | \(45045504/121\) | \(23969649796537104\) | \([]\) | \(1264032\) | \(2.0171\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142956q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142956q do not have complex multiplication.Modular form 142956.2.a.q
sage: E.q_eigenform(10)