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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 40656a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40656.ba1 | 40656a1 | \([0, -1, 0, -260, 1839]\) | \(-91625216/9261\) | \(-197222256\) | \([]\) | \(13824\) | \(0.33165\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40656a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40656a do not have complex multiplication.Modular form 40656.2.a.a
sage: E.q_eigenform(10)