Properties

Label 409101.ba
Number of curves $1$
Conductor $409101$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 409101.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
409101.ba1 409101ba1 \([0, -1, 1, -40245, -3131206]\) \(-134217728/1863\) \(-100062942658371\) \([]\) \(989184\) \(1.4926\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 409101.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 409101.ba do not have complex multiplication.

Modular form 409101.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + q^{5} + q^{9} + 2 q^{12} + 2 q^{13} - q^{15} + 4 q^{16} + 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display