Properties

Label 218405.d
Number of curves $1$
Conductor $218405$
CM no
Rank $0$

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

Elliptic curves in class 218405.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
218405.d1 218405d1 \([1, -1, 1, -510522, 304533694]\) \(-1459161/3125\) \(-31514695021309878125\) \([]\) \(9123840\) \(2.4303\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 218405.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 218405.d do not have complex multiplication.

Modular form 218405.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} - q^{4} + q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} + 6 q^{9} - q^{10} - 3 q^{12} + 4 q^{13} - 3 q^{14} + 3 q^{15} - q^{16} - 6 q^{18} + O(q^{20})\) Copy content Toggle raw display