Properties

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

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Show commands: SageMath
E = EllipticCurve("bnw1")
 
E.isogeny_class()
 

Elliptic curves in class 705600.bnw

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.bnw1 \([0, 0, 0, 4200, -43400]\) \(358400/243\) \(-5555329920000\) \([]\) \(737280\) \(1.1342\)

Rank

sage: E.rank()
 

The elliptic curve 705600.bnw1 has rank \(1\).

Complex multiplication

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

Modular form 705600.2.a.bnw

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