Show commands:
SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 91035bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91035.d1 | 91035bk1 | \([0, 0, 1, -867, -155988]\) | \(-4096/595\) | \(-10469791241595\) | \([]\) | \(193536\) | \(1.1777\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91035bk do not have complex multiplication.Modular form 91035.2.a.bk
sage: E.q_eigenform(10)