Properties

Label 37440.v
Number of curves $1$
Conductor $37440$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 37440.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37440.v1 37440bf1 \([0, 0, 0, 349872, -52417888]\) \(396555344454656/328867205355\) \(-3927968853258977280\) \([]\) \(675840\) \(2.2556\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37440.v1 has rank \(0\).

Complex multiplication

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

Modular form 37440.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - 5 q^{11} - q^{13} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display