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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 32487j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32487.o1 | 32487j1 | \([0, 1, 1, -2564, 43397]\) | \(776703004672/97144749\) | \(233244542349\) | \([]\) | \(84672\) | \(0.91086\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32487j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32487j do not have complex multiplication.Modular form 32487.2.a.j
sage: E.q_eigenform(10)