Properties

Label 267200.bm
Number of curves $1$
Conductor $267200$
CM no
Rank $0$

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

Elliptic curves in class 267200.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
267200.bm1 267200bm1 \([0, 1, 0, -41712673153, 3279052014245503]\) \(-1224751130206834971784807336585/61328559574089728\) \(-401922848024754441420800\) \([]\) \(295105536\) \(4.4515\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 267200.bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 267200.bm do not have complex multiplication.

Modular form 267200.2.a.bm

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{7} - 2 q^{9} + 3 q^{11} + 2 q^{13} - 3 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display