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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 6300.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6300.f1 | 6300e1 | \([0, 0, 0, 15, 205]\) | \(1280/63\) | \(-18370800\) | \([]\) | \(1152\) | \(0.073590\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6300.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6300.f do not have complex multiplication.Modular form 6300.2.a.f
sage: E.q_eigenform(10)