Properties

Label 455175.be
Number of curves $1$
Conductor $455175$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 455175.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
455175.be1 455175be1 \([1, -1, 1, -23605430, -44137883428]\) \(-732285625/7\) \(-13905191492743359375\) \([]\) \(22472640\) \(2.8351\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 455175.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 455175.be do not have complex multiplication.

Modular form 455175.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - q^{7} + 3 q^{8} - 3 q^{11} + 6 q^{13} + q^{14} - q^{16} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display