Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 85800.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85800.j1 | 85800ch1 | \([0, -1, 0, -93808, -11027588]\) | \(-142648759159300/5577\) | \(-3569280000\) | \([]\) | \(220416\) | \(1.3228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85800.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85800.j do not have complex multiplication.Modular form 85800.2.a.j
sage: E.q_eigenform(10)