Properties

Label 111600dc
Number of curves $1$
Conductor $111600$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("dc1")
 
E.isogeny_class()
 

Elliptic curves in class 111600dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
111600.c1 111600dc1 \([0, 0, 0, -7635075, 9140357250]\) \(-28485240894685827/4402018257760\) \(-7606687549409280000000\) \([]\) \(9676800\) \(2.9275\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 111600dc1 has rank \(1\).

Complex multiplication

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

Modular form 111600.2.a.dc

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} - q^{11} + 4 q^{13} - 6 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display