Properties

Label 92736bi
Number of curves $1$
Conductor $92736$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 92736bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92736.ff1 92736bi1 \([0, 0, 0, 5239284, -3097598992]\) \(83228502970940543/69854999176704\) \(-13349498231145684271104\) \([]\) \(6082560\) \(2.9332\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92736bi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 92736bi do not have complex multiplication.

Modular form 92736.2.a.bi

sage: E.q_eigenform(10)
 
\(q + 3q^{5} - q^{7} + 4q^{11} + 3q^{13} + 4q^{17} + O(q^{20})\)  Toggle raw display