Properties

Label 88445.ba
Number of curves $1$
Conductor $88445$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 88445.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.ba1 88445bb1 \([1, -1, 0, -4558234, 3746170063]\) \(106979481/25\) \(2447671530057996025\) \([]\) \(5056128\) \(2.5190\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 88445.ba do not have complex multiplication.

Modular form 88445.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} - q^{4} + q^{5} - 3 q^{6} - 3 q^{8} + 6 q^{9} + q^{10} + 5 q^{11} + 3 q^{12} + q^{13} - 3 q^{15} - q^{16} - 7 q^{17} + 6 q^{18} + O(q^{20})\) Copy content Toggle raw display