Show commands:
SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 47190bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47190.cg1 | 47190bw1 | \([1, 1, 1, -3660, -124563]\) | \(-4073768343611/2555904000\) | \(-3401908224000\) | \([]\) | \(98496\) | \(1.1062\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47190bw do not have complex multiplication.Modular form 47190.2.a.bw
sage: E.q_eigenform(10)