Show commands:
SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 4650.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4650.bk1 | 4650bj1 | \([1, 0, 0, 2437, 25617]\) | \(102437538839/77137920\) | \(-1205280000000\) | \([]\) | \(10560\) | \(1.0063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4650.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4650.bk do not have complex multiplication.Modular form 4650.2.a.bk
sage: E.q_eigenform(10)