Properties

Label 2736.k
Number of curves $1$
Conductor $2736$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 2736.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2736.k1 2736e1 \([0, 0, 0, -75, -358]\) \(-31250/19\) \(-28366848\) \([]\) \(480\) \(0.13213\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2736.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2736.k do not have complex multiplication.

Modular form 2736.2.a.k

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 2 q^{11} + q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display