Properties

Label 1150.f
Number of curves $1$
Conductor $1150$
CM no
Rank $1$

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

Elliptic curves in class 1150.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1150.f1 1150g1 \([1, 0, 0, -23, -23]\) \(53969305/23552\) \(588800\) \([]\) \(240\) \(-0.19682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1150.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1150.f do not have complex multiplication.

Modular form 1150.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - q^{7} + q^{8} + q^{9} + 5 q^{11} - 2 q^{12} - 7 q^{13} - q^{14} + q^{16} + q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display