Properties

Label 474320.bm
Number of curves $1$
Conductor $474320$
CM no
Rank $0$

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

Elliptic curves in class 474320.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
474320.bm1 474320bm1 \([0, 1, 0, -29080, -2229900]\) \(-15298178/3125\) \(-555561529600000\) \([]\) \(2059200\) \(1.5515\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 474320.bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 474320.bm do not have complex multiplication.

Modular form 474320.2.a.bm

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