Properties

Label 7018d
Number of curves $1$
Conductor $7018$
CM no
Rank $0$

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

Elliptic curves in class 7018d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7018.c1 7018d1 \([1, -1, 1, -144, -921]\) \(-185193/116\) \(-205501076\) \([]\) \(5720\) \(0.29672\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7018d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7018d do not have complex multiplication.

Modular form 7018.2.a.d

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 3 q^{5} - 3 q^{6} + 2 q^{7} + q^{8} + 6 q^{9} - 3 q^{10} - 3 q^{12} - 3 q^{13} + 2 q^{14} + 9 q^{15} + q^{16} + 4 q^{17} + 6 q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display