Properties

Label 705600.bsh
Number of curves $1$
Conductor $705600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bsh1")
 
E.isogeny_class()
 

Elliptic curves in class 705600.bsh

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.bsh1 \([0, 0, 0, -3290700, 2297666000]\) \(-215474070728/3645\) \(-66663959040000000\) \([]\) \(9732096\) \(2.3583\)

Rank

sage: E.rank()
 

The elliptic curve 705600.bsh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 705600.bsh do not have complex multiplication.

Modular form 705600.2.a.bsh

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