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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 32064q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32064.k1 | 32064q1 | \([0, -1, 0, 31, 321]\) | \(97336/1503\) | \(-49250304\) | \([]\) | \(7680\) | \(0.15665\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32064q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32064q do not have complex multiplication.Modular form 32064.2.a.q
sage: E.q_eigenform(10)