Properties

Label 2760.f
Number of curves $1$
Conductor $2760$
CM no
Rank $1$

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

Elliptic curves in class 2760.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2760.f1 2760c1 \([0, -1, 0, 15, 117]\) \(1362944/25875\) \(-6624000\) \([]\) \(384\) \(-0.010740\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2760.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2760.f do not have complex multiplication.

Modular form 2760.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} - 4 q^{13} - q^{15} - q^{17} + O(q^{20})\) Copy content Toggle raw display