Show commands:
SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 114950.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
114950.bu1 | 114950co1 | \([1, -1, 1, -135180, 19650447]\) | \(-81563625/2432\) | \(-8145637478000000\) | \([]\) | \(2395008\) | \(1.8313\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 114950.bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 114950.bu do not have complex multiplication.Modular form 114950.2.a.bu
sage: E.q_eigenform(10)