Properties

Label 327990f
Number of curves $1$
Conductor $327990$
CM no
Rank $0$

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

Elliptic curves in class 327990f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.f1 327990f1 \([1, 1, 0, 735858, -382549854]\) \(74082708125999/149327343750\) \(-88823386525483593750\) \([]\) \(12579840\) \(2.5122\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 327990f do not have complex multiplication.

Modular form 327990.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - 2 q^{7} - q^{8} + q^{9} - q^{10} + q^{11} - q^{12} - q^{13} + 2 q^{14} - q^{15} + q^{16} + 5 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display