↑

Properties

Label 348726.bd
Number of curves $1$
Conductor $348726$
CM no
Rank $1$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("bd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 348726.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
348726.bd1 348726bd1 [1, 0, 1, -222023, 40384874] [] 2488320 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 348726.bd do not have complex multiplication.

Modular form 348726.2.a.bd

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} + q^{7} - q^{8} + q^{9} - q^{10} + q^{12} + q^{13} - q^{14} + q^{15} + q^{16} + 4q^{17} - q^{18} + O(q^{20}) \)