Properties

Label 329868.bz
Number of curves $1$
Conductor $329868$
CM no
Rank $1$

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

Elliptic curves in class 329868.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
329868.bz1 329868bz1 \([0, 0, 0, -1004304, -15810583628]\) \(-5102271397888/4915446963867\) \(-107924177682457535976192\) \([]\) \(30191616\) \(3.0987\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 329868.bz1 has rank \(1\).

Complex multiplication

The elliptic curves in class 329868.bz do not have complex multiplication.

Modular form 329868.2.a.bz

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + q^{11} - 6 q^{13} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display