Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 37440.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37440.bb1 37440bp1 \([0, 0, 0, -2388, 70562]\) \(-32278933504/27421875\) \(-1279395000000\) \([]\) \(53760\) \(1.0207\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37440.bb1 has rank \(1\).

Complex multiplication

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

Modular form 37440.2.a.bb

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