Properties

Label 9702.be
Number of curves $1$
Conductor $9702$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("be1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9702.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9702.be1 9702bq1 \([1, -1, 1, -2147459, -1255163101]\) \(-260607143968297/11270993184\) \(-47366798895246843936\) \([]\) \(470400\) \(2.5411\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9702.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9702.be do not have complex multiplication.

Modular form 9702.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 3q^{5} + q^{8} - 3q^{10} + q^{11} + 6q^{13} + q^{16} + 5q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display