Properties

Label 179776s
Number of curves $1$
Conductor $179776$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 179776s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
179776.b1 179776s1 \([0, 0, 0, 56180, 26202352]\) \(3375/53\) \(-307943477041430528\) \([]\) \(2875392\) \(2.0363\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 179776s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 179776s do not have complex multiplication.

Modular form 179776.2.a.s

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 4 q^{7} + 6 q^{9} + 3 q^{13} - 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display