Properties

Label 70805.d
Number of curves $1$
Conductor $70805$
CM no
Rank $0$

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

Elliptic curves in class 70805.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.d1 70805q1 \([0, -1, 1, -231296, 22249422]\) \(200704/85\) \(579552594150022885\) \([]\) \(1306368\) \(2.1052\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 70805.d do not have complex multiplication.

Modular form 70805.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - q^{3} + 2 q^{4} - q^{5} + 2 q^{6} - 2 q^{9} + 2 q^{10} + 4 q^{11} - 2 q^{12} + 4 q^{13} + q^{15} - 4 q^{16} + 4 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display