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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 30446k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30446.j1 | 30446k1 | \([1, 1, 1, -59, 9]\) | \(22737343537/12665536\) | \(12665536\) | \([]\) | \(6912\) | \(0.053199\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30446k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30446k do not have complex multiplication.Modular form 30446.2.a.k
sage: E.q_eigenform(10)