Properties

Label 4014.d
Number of curves $1$
Conductor $4014$
CM no
Rank $1$

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

Elliptic curves in class 4014.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4014.d1 4014d1 \([1, -1, 0, -351, 589]\) \(6570725617/3653632\) \(2663497728\) \([]\) \(1680\) \(0.49895\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4014.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4014.d do not have complex multiplication.

Modular form 4014.2.a.d

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