Properties

Label 327990.c
Number of curves $1$
Conductor $327990$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 327990.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.c1 327990c1 \([1, 1, 0, -22325203, -30893717843]\) \(1739874810731935427689/424271925913680000\) \(300079472032153504080000\) \([]\) \(38438400\) \(3.2156\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990.c1 has rank \(1\).

Complex multiplication

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

Modular form 327990.2.a.c

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