Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 1200.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1200.j1 | 1200h1 | \([0, 1, 0, -5833, -207037]\) | \(-8780800/2187\) | \(-5467500000000\) | \([]\) | \(3360\) | \(1.1621\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1200.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1200.j do not have complex multiplication.Modular form 1200.2.a.j
sage: E.q_eigenform(10)