Properties

Label 178752.bz
Number of curves $1$
Conductor $178752$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 178752.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
178752.bz1 178752du1 \([0, -1, 0, 4179999, 2635353729]\) \(628805222251722551/597713542447104\) \(-7677663924691427917824\) \([]\) \(10838016\) \(2.8865\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 178752.bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 178752.bz do not have complex multiplication.

Modular form 178752.2.a.bz

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 3 q^{11} - 4 q^{13} + q^{15} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display