Properties

Label 455175bj
Number of curves $1$
Conductor $455175$
CM no
Rank $1$

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

Elliptic curves in class 455175bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
455175.bj1 455175bj1 \([1, -1, 1, -59841695, -178163748908]\) \(-1995310715276835/9938999\) \(-118050403629049559325\) \([]\) \(29859840\) \(3.0504\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 455175bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 455175bj do not have complex multiplication.

Modular form 455175.2.a.bj

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - q^{7} + 3 q^{8} + 6 q^{13} + q^{14} - q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display