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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 102850.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.f1 | 102850y1 | \([1, 0, 1, 5079, -383572]\) | \(327254135/1627648\) | \(-72086942963200\) | \([]\) | \(466560\) | \(1.3413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102850.f do not have complex multiplication.Modular form 102850.2.a.f
sage: E.q_eigenform(10)