Properties

Label 310464.bz
Number of curves $1$
Conductor $310464$
CM no
Rank $0$

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

Elliptic curves in class 310464.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.bz1 310464bz1 \([0, 0, 0, 4116, -134456]\) \(6912/11\) \(-12272661789696\) \([]\) \(573440\) \(1.1967\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 310464.bz do not have complex multiplication.

Modular form 310464.2.a.bz

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