Properties

Label 68544.g
Number of curves $1$
Conductor $68544$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 68544.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68544.g1 68544bs1 \([0, 0, 0, 4596, -2896]\) \(449455096/260253\) \(-6216890351616\) \([]\) \(100352\) \(1.1443\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68544.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 68544.g do not have complex multiplication.

Modular form 68544.2.a.g

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{7} - q^{11} + q^{13} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display