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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 32064.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32064.p1 | 32064h1 | \([0, 1, 0, 639, -16929]\) | \(219804478/1095687\) | \(-143613886464\) | \([]\) | \(28672\) | \(0.82311\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32064.p1 has rank \(2\).
Complex multiplication
The elliptic curves in class 32064.p do not have complex multiplication.Modular form 32064.2.a.p
sage: E.q_eigenform(10)