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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 29645.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29645.f1 | 29645i1 | \([1, -1, 1, -573, -11294]\) | \(-1459161/3125\) | \(-44486028125\) | \([]\) | \(39600\) | \(0.73212\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29645.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29645.f do not have complex multiplication.Modular form 29645.2.a.f
sage: E.q_eigenform(10)