Show commands:
SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 88445.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.bk1 | 88445i1 | \([1, -1, 0, -1255, 17450]\) | \(-92959677/125\) | \(-294079625\) | \([]\) | \(99840\) | \(0.53060\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88445.bk do not have complex multiplication.Modular form 88445.2.a.bk
sage: E.q_eigenform(10)