Properties

Label 74256bj
Number of curves $1$
Conductor $74256$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 74256bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74256.bs1 74256bj1 \([0, -1, 0, -229, 19597]\) \(-325660672/40000779\) \(-163843190784\) \([]\) \(88320\) \(0.83131\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74256bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 74256bj do not have complex multiplication.

Modular form 74256.2.a.bj

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} - q^{7} + q^{9} + 6 q^{11} - q^{13} - 3 q^{15} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display