Properties

Label 62400ds
Number of curves $1$
Conductor $62400$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ds1")
 
E.isogeny_class()
 

Elliptic curves in class 62400ds

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.ha1 62400ds1 \([0, 1, 0, -4908, -134262]\) \(-326938350400/767637\) \(-30705480000\) \([]\) \(92160\) \(0.89260\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400ds1 has rank \(0\).

Complex multiplication

The elliptic curves in class 62400ds do not have complex multiplication.

Modular form 62400.2.a.ds

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{7} + q^{9} - 3 q^{11} + q^{13} - 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display