Properties

Label 132834.d
Number of curves $1$
Conductor $132834$
CM no
Rank $0$

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

Elliptic curves in class 132834.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
132834.d1 132834bc1 \([1, 1, 0, -145512, 21087552]\) \(70593496254289/824180736\) \(3978162994151424\) \([]\) \(1161216\) \(1.8056\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 132834.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 132834.d do not have complex multiplication.

Modular form 132834.2.a.d

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