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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 102245f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102245.c1 | 102245f1 | \([1, -1, 1, -238998, -97444278]\) | \(-1459161/3125\) | \(-3233341800127278125\) | \([]\) | \(2851200\) | \(2.2406\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102245f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102245f do not have complex multiplication.Modular form 102245.2.a.f
sage: E.q_eigenform(10)