Properties

Label 3024.k
Number of curves $1$
Conductor $3024$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 3024.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3024.k1 3024u1 \([0, 0, 0, -48, 124]\) \(196608/7\) \(435456\) \([]\) \(288\) \(-0.14750\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3024.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3024.k do not have complex multiplication.

Modular form 3024.2.a.k

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