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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 388815.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.ba1 | 388815ba1 | \([1, 1, 1, 24754015, 369639556040]\) | \(182074754111/6511640625\) | \(-59993106709873346232890625\) | \([]\) | \(111283200\) | \(3.6263\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.ba1 has rank \(2\).
Complex multiplication
The elliptic curves in class 388815.ba do not have complex multiplication.Modular form 388815.2.a.ba
sage: E.q_eigenform(10)