Properties

Label 410958be
Number of curves $1$
Conductor $410958$
CM no
Rank $0$

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

Elliptic curves in class 410958be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
410958.be1 410958be1 \([1, -1, 1, -9158, -315367]\) \(4826809/316\) \(5560426945116\) \([]\) \(1182720\) \(1.1953\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 410958be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 410958be do not have complex multiplication.

Modular form 410958.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + 3 q^{7} + q^{8} - q^{10} + 4 q^{11} - 7 q^{13} + 3 q^{14} + q^{16} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display