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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 169050.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169050.ba1 | 169050ik1 | \([1, 1, 0, -753400, 252244000]\) | \(-25727239787761/101406816\) | \(-186412663993500000\) | \([]\) | \(2419200\) | \(2.1715\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169050.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169050.ba do not have complex multiplication.Modular form 169050.2.a.ba
sage: E.q_eigenform(10)