Properties

Label 16900q
Number of curves $1$
Conductor $16900$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 16900q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16900.a1 16900q1 \([0, 0, 0, -4225, 105625]\) \(1168128\) \(7140250000\) \([]\) \(23040\) \(0.81754\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16900q1 has rank \(2\).

Complex multiplication

The elliptic curves in class 16900q do not have complex multiplication.

Modular form 16900.2.a.q

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{7} + 6 q^{9} - 5 q^{11} - 3 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display