Show commands:
SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 54208.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54208.cg1 | 54208i1 | \([0, 1, 0, -645, -2093533]\) | \(-1024/65219\) | \(-1892998133497856\) | \([]\) | \(184320\) | \(1.6103\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54208.cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54208.cg do not have complex multiplication.Modular form 54208.2.a.cg
sage: E.q_eigenform(10)