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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 137456a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
137456.a1 | 137456a1 | \([0, 0, 0, -5084299, 4394426938]\) | \(2003092024307193/9529458688\) | \(69148743117913980928\) | \([]\) | \(8398080\) | \(2.6561\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 137456a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 137456a do not have complex multiplication.Modular form 137456.2.a.a
sage: E.q_eigenform(10)