Properties

Label 88445.d
Number of curves $1$
Conductor $88445$
CM no
Rank $0$

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

Elliptic curves in class 88445.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.d1 88445bv1 \([0, -1, 1, -288920, -607254362]\) \(-200704/11875\) \(-157810401280055006875\) \([]\) \(4596480\) \(2.5555\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 88445.d do not have complex multiplication.

Modular form 88445.2.a.d

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