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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 32487.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 32487.k1 | 32487c1 | \([0, -1, 1, -14184, 654905]\) | \(6441016595550208/511270461\) | \(25052252589\) | \([]\) | \(84480\) | \(1.0417\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32487.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32487.k do not have complex multiplication.Modular form 32487.2.a.k
sage: E.q_eigenform(10)