Properties

Label 62400.cg
Number of curves $1$
Conductor $62400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 62400.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.cg1 62400bu1 \([0, -1, 0, 292, 1662]\) \(109760/117\) \(-2925000000\) \([]\) \(30720\) \(0.50305\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400.cg1 has rank \(1\).

Complex multiplication

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

Modular form 62400.2.a.cg

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 5 q^{11} + q^{13} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display