Properties

Label 9072.f
Number of curves $1$
Conductor $9072$
CM no
Rank $0$

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

Elliptic curves in class 9072.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9072.f1 9072x1 \([0, 0, 0, 1269, -56646]\) \(934407/6272\) \(-1516975423488\) \([]\) \(12096\) \(1.0190\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9072.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9072.f do not have complex multiplication.

Modular form 9072.2.a.f

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