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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 40656p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40656.f1 | 40656p1 | \([0, -1, 0, 10388, -1859141]\) | \(5820759945472/73222472421\) | \(-1559345772677616\) | \([]\) | \(161280\) | \(1.5961\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40656p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40656p do not have complex multiplication.Modular form 40656.2.a.p
sage: E.q_eigenform(10)