Properties

Label 10304.bj
Number of curves $1$
Conductor $10304$
CM no
Rank $0$

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

Elliptic curves in class 10304.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10304.bj1 10304bl1 \([0, 0, 0, -33676, -2413336]\) \(-4124632486295808/70140333767\) \(-71823701777408\) \([]\) \(43008\) \(1.4573\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10304.bj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10304.bj do not have complex multiplication.

Modular form 10304.2.a.bj

sage: E.q_eigenform(10)
 
\(q + 3q^{3} - 2q^{5} + q^{7} + 6q^{9} + 2q^{11} + q^{13} - 6q^{15} + 2q^{19} + O(q^{20})\)  Toggle raw display