Properties

Label 311696.ba
Number of curves $1$
Conductor $311696$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 311696.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
311696.ba1 311696ba1 \([0, -1, 0, -14560, -665872]\) \(188183524/1771\) \(3212732959744\) \([]\) \(583680\) \(1.2207\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 311696.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 311696.ba do not have complex multiplication.

Modular form 311696.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} - 2 q^{9} - 5 q^{13} - q^{15} + 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display