Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 436800.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
436800.j1 | 436800j1 | \([0, -1, 0, 14167, 609537]\) | \(786080000/862407\) | \(-344962800000000\) | \([]\) | \(1382400\) | \(1.4761\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 436800.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 436800.j do not have complex multiplication.Modular form 436800.2.a.j
sage: E.q_eigenform(10)