Properties

Label 5712y
Number of curves $1$
Conductor $5712$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 5712y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5712.n1 5712y1 \([0, 1, 0, -2460477, -1486414521]\) \(-6434900743458429657088/395758108932291\) \(-101314075886666496\) \([]\) \(120960\) \(2.3230\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5712y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5712y do not have complex multiplication.

Modular form 5712.2.a.y

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