Properties

Label 111600.g
Number of curves $1$
Conductor $111600$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 111600.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111600.g1 111600r1 \([0, 0, 0, 10125, 641250]\) \(14580/31\) \(-244069200000000\) \([]\) \(437760\) \(1.4450\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111600.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 111600.g do not have complex multiplication.

Modular form 111600.2.a.g

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} - 6 q^{11} - 2 q^{13} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display