Properties

Label 360640bm
Number of curves $1$
Conductor $360640$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 360640bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
360640.bm1 360640bm1 \([0, 1, 0, -65, -6497]\) \(-196/115\) \(-18095472640\) \([]\) \(205824\) \(0.64732\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 360640bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 360640bm do not have complex multiplication.

Modular form 360640.2.a.bm

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} + q^{9} - 2 q^{11} + 4 q^{13} - 2 q^{15} - 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display