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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 400064p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
400064.p1 | 400064p1 | \([0, -1, 0, -609, -9503]\) | \(-95443993/100016\) | \(-26218594304\) | \([]\) | \(294912\) | \(0.69435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 400064p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 400064p do not have complex multiplication.Modular form 400064.2.a.p
sage: E.q_eigenform(10)