Properties

Label 281775u
Number of curves $1$
Conductor $281775$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 281775u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
281775.u1 281775u1 \([0, -1, 1, 1417, 793943]\) \(32768/28431\) \(-272815435546875\) \([]\) \(1164800\) \(1.4490\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 281775u1 has rank \(1\).

Complex multiplication

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

Modular form 281775.2.a.u

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