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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 379050.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.ba1 | 379050ba1 | \([1, 1, 0, -6069500, -7156590000]\) | \(-93182366881/29393280\) | \(-7800040997840070000000\) | \([]\) | \(47803392\) | \(2.9139\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.ba do not have complex multiplication.Modular form 379050.2.a.ba
sage: E.q_eigenform(10)