Properties

Label 97104.ba
Number of curves $1$
Conductor $97104$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 97104.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.ba1 97104d1 \([0, -1, 0, -27490065, -55467695331]\) \(-371806976516936704/89266779\) \(-551598857605184256\) \([]\) \(3096576\) \(2.7823\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 97104.ba do not have complex multiplication.

Modular form 97104.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} - q^{11} - q^{13} - q^{15} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display