Properties

Label 281775f
Number of curves $1$
Conductor $281775$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 281775f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
281775.f1 281775f1 \([0, 1, 1, -2408, -415906]\) \(-4096/195\) \(-73544155546875\) \([]\) \(1377792\) \(1.3407\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 281775f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 281775f do not have complex multiplication.

Modular form 281775.2.a.f

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