Properties

Label 1176.d
Number of curves $1$
Conductor $1176$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 1176.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1176.d1 1176a1 \([0, -1, 0, -457, -10163]\) \(-7168/27\) \(-39846304512\) \([]\) \(1008\) \(0.71965\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1176.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1176.d do not have complex multiplication.

Modular form 1176.2.a.d

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