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SageMath
E = EllipticCurve("fb1")
E.isogeny_class()
Elliptic curves in class 203280.fb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
203280.fb1 | 203280bk1 | \([0, 1, 0, -254261, 159423075]\) | \(-250523582464/1369738755\) | \(-9939254307006689280\) | \([]\) | \(3456000\) | \(2.3293\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 203280.fb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 203280.fb do not have complex multiplication.Modular form 203280.2.a.fb
sage: E.q_eigenform(10)