Properties

Label 309168be
Number of curves $1$
Conductor $309168$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 309168be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
309168.be1 309168be1 \([0, 0, 0, -17355, -908678]\) \(-193602111625/7420032\) \(-22156096831488\) \([]\) \(1225728\) \(1.3305\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 309168be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 309168be do not have complex multiplication.

Modular form 309168.2.a.be

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