Properties

Label 35574.ba
Number of curves $1$
Conductor $35574$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 35574.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35574.ba1 35574t1 \([1, 0, 1, -17911, 921050]\) \(18075297625/1152\) \(40496303232\) \([]\) \(80640\) \(1.0934\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35574.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35574.ba do not have complex multiplication.

Modular form 35574.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{8} + q^{9} + q^{12} - 6 q^{13} + q^{16} - 5 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display