Properties

Label 16575.a
Number of curves $1$
Conductor $16575$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 16575.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16575.a1 16575k1 \([0, 1, 1, 1292, -13256]\) \(122023936/112047\) \(-218841796875\) \([]\) \(30240\) \(0.86325\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16575.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16575.a do not have complex multiplication.

Modular form 16575.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} - 2 q^{6} + 2 q^{7} + q^{9} + 2 q^{12} - q^{13} - 4 q^{14} - 4 q^{16} + q^{17} - 2 q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display