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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 18032.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18032.ba1 | 18032g1 | \([0, 0, 0, -2695, -53851]\) | \(-1149984000/23\) | \(-43294832\) | \([]\) | \(17280\) | \(0.58609\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18032.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18032.ba do not have complex multiplication.Modular form 18032.2.a.ba
sage: E.q_eigenform(10)