Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 84966.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.j1 | 84966h1 | \([1, 1, 0, -18501641, -87238804155]\) | \(-17417218777/71663616\) | \(-2881870153071463139475456\) | \([]\) | \(18892440\) | \(3.3786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84966.j do not have complex multiplication.Modular form 84966.2.a.j
sage: E.q_eigenform(10)