Properties

Label 9555.v
Number of curves $1$
Conductor $9555$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 9555.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9555.v1 9555r1 \([0, 1, 1, -9326, -359089]\) \(-762549907456/24024195\) \(-2826422517555\) \([]\) \(27720\) \(1.1655\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9555.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9555.v do not have complex multiplication.

Modular form 9555.2.a.v

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