Show commands:
SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 466578.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.bk1 | 466578bk1 | \([1, -1, 0, -1027186470, -12676223489868]\) | \(-2641801258666400088001/1244109469188096\) | \(-56445592490693335033380864\) | \([]\) | \(212336640\) | \(3.8970\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.bk do not have complex multiplication.Modular form 466578.2.a.bk
sage: E.q_eigenform(10)