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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 69360k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69360.m1 | 69360k1 | \([0, -1, 0, -1487001, -697356315]\) | \(203622820864/28125\) | \(50225453575200000\) | \([]\) | \(1175040\) | \(2.2221\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69360k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69360k do not have complex multiplication.Modular form 69360.2.a.k
sage: E.q_eigenform(10)