Properties

Label 96600.p
Number of curves $1$
Conductor $96600$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 96600.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96600.p1 96600f1 \([0, -1, 0, 4167, -1212963]\) \(3200000/255507\) \(-638767500000000\) \([]\) \(322560\) \(1.5204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96600.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 96600.p do not have complex multiplication.

Modular form 96600.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 3 q^{11} + 4 q^{13} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display