Show commands:
SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 47190.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47190.bg1 | 47190be1 | \([1, 0, 1, -2148, 38146]\) | \(-822920371811/505440\) | \(-672740640\) | \([]\) | \(33600\) | \(0.63667\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47190.bg do not have complex multiplication.Modular form 47190.2.a.bg
sage: E.q_eigenform(10)