Label 405600gx
Number of curves $1$
Conductor $405600$
CM no
Rank $1$

Related objects


Learn more

Show commands for: SageMath
sage: E = EllipticCurve("gx1")
sage: E.isogeny_class()

Elliptic curves in class 405600gx

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.gx1 405600gx1 \([0, 1, 0, 1316792, -4696767412]\) \(261568120/10024911\) \(-9677666127799800000000\) \([]\) \(21772800\) \(2.8986\) \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 405600gx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 405600gx do not have complex multiplication.

Modular form 405600.2.a.gx

sage: E.q_eigenform(10)
\(q + q^{3} + 4q^{7} + q^{9} - 3q^{19} + O(q^{20})\)  Toggle raw display