Properties

Label 469300.ba
Number of curves $1$
Conductor $469300$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 469300.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
469300.ba1 469300ba1 \([0, 0, 0, 225625, 42868750]\) \(10800/13\) \(-1528991132500000000\) \([]\) \(4976640\) \(2.1755\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 469300.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 469300.ba do not have complex multiplication.

Modular form 469300.2.a.ba

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} - 3 q^{9} + 3 q^{11} + q^{13} + q^{17} + O(q^{20})\) Copy content Toggle raw display