Properties

Label 95550gu
Number of curves $1$
Conductor $95550$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gu1")
 
E.isogeny_class()
 

Elliptic curves in class 95550gu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
95550.ig1 95550gu1 \([1, 1, 1, 97, -589]\) \(34295/78\) \(-229415550\) \([]\) \(48384\) \(0.28834\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 95550gu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 95550gu do not have complex multiplication.

Modular form 95550.2.a.gu

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