Properties

Label 266955.c
Number of curves $1$
Conductor $266955$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 266955.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
266955.c1 266955c1 \([0, 1, 1, -456, -34390]\) \(-4096/195\) \(-500316649755\) \([]\) \(619920\) \(0.92487\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 266955.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 266955.c do not have complex multiplication.

Modular form 266955.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} - q^{5} - 2 q^{6} - 3 q^{7} + q^{9} + 2 q^{10} - 5 q^{11} + 2 q^{12} - q^{13} + 6 q^{14} - q^{15} - 4 q^{16} - 5 q^{17} - 2 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display