Properties

Label 37440.k
Number of curves $1$
Conductor $37440$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 37440.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37440.k1 37440d1 \([0, 0, 0, 6672, 5446048]\) \(74251994112/29007265625\) \(-12831886080000000\) \([]\) \(215040\) \(1.7700\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37440.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 37440.k do not have complex multiplication.

Modular form 37440.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - 3 q^{11} - q^{13} - 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display