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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 32064e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32064.i1 | 32064e1 | \([0, -1, 0, -1185, -15327]\) | \(-1405190738/1503\) | \(-197001216\) | \([]\) | \(9216\) | \(0.50789\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32064e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32064e do not have complex multiplication.Modular form 32064.2.a.e
sage: E.q_eigenform(10)