Properties

Label 276903.f
Number of curves $1$
Conductor $276903$
CM no
Rank $1$

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

Elliptic curves in class 276903.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
276903.f1 276903f1 \([0, 0, 1, -279, -1627]\) \(3294646272/338437\) \(246720573\) \([]\) \(190848\) \(0.34584\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 276903.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 276903.f do not have complex multiplication.

Modular form 276903.2.a.f

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