Properties

Label 58800eq
Number of curves $1$
Conductor $58800$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("eq1")
 
E.isogeny_class()
 

Elliptic curves in class 58800eq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.jw1 58800eq1 \([0, 1, 0, -15108, -719937]\) \(-324179200/63\) \(-74118870000\) \([]\) \(129024\) \(1.0857\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800eq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 58800eq do not have complex multiplication.

Modular form 58800.2.a.eq

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} + 5 q^{11} - 4 q^{13} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display