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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 32336.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32336.a1 | 32336b1 | \([0, 1, 0, -32, 4]\) | \(3650692/2021\) | \(2069504\) | \([]\) | \(8832\) | \(-0.097625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32336.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 32336.a do not have complex multiplication.Modular form 32336.2.a.a
sage: E.q_eigenform(10)