Properties

Label 69678ba
Number of curves $1$
Conductor $69678$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 69678ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69678.bd1 69678ba1 \([1, -1, 1, -1553, 22565]\) \(4826809/316\) \(27102094236\) \([]\) \(79200\) \(0.75170\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69678ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69678ba do not have complex multiplication.

Modular form 69678.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + q^{8} - q^{10} - 4 q^{11} + 7 q^{13} + q^{16} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display