Properties

Label 309168bi
Number of curves $1$
Conductor $309168$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 309168bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
309168.bi1 309168bi1 \([0, 0, 0, 140928, 5163248]\) \(103664033202176/63847694259\) \(-190648193494265856\) \([]\) \(2985984\) \(2.0049\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 309168bi1 has rank \(0\).

Complex multiplication

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

Modular form 309168.2.a.bi

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{7} + 5 q^{11} - 2 q^{13} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display