Properties

Label 38808bt
Number of curves $1$
Conductor $38808$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 38808bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38808.bd1 38808bt1 \([0, 0, 0, -42903, 4070871]\) \(-80850237696/19487171\) \(-2105010135519984\) \([]\) \(193536\) \(1.6589\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38808bt1 has rank \(2\).

Complex multiplication

The elliptic curves in class 38808bt do not have complex multiplication.

Modular form 38808.2.a.bt

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{11} - 5 q^{13} - 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display