Properties

Label 312550be
Number of curves $1$
Conductor $312550$
CM no
Rank $0$

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

Elliptic curves in class 312550be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
312550.be1 312550be1 \([1, 1, 1, -238, -2469]\) \(-95443993/100016\) \(-1562750000\) \([]\) \(165888\) \(0.45935\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 312550be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 312550be do not have complex multiplication.

Modular form 312550.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} - q^{7} + q^{8} - 2 q^{9} - q^{12} - 4 q^{13} - q^{14} + q^{16} - 4 q^{17} - 2 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display