Properties

Label 58800.p
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 58800.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.p1 58800k1 \([0, -1, 0, -1143, -18738]\) \(-71680/27\) \(-62259850800\) \([]\) \(48384\) \(0.78106\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.p1 has rank \(1\).

Complex multiplication

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

Modular form 58800.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 4q^{11} - q^{13} - 6q^{17} - 3q^{19} + O(q^{20})\)  Toggle raw display