Properties

Label 28611.d
Number of curves $1$
Conductor $28611$
CM no
Rank $0$

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

Elliptic curves in class 28611.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28611.d1 28611z1 \([0, 0, 1, -751689, -250876204]\) \(-9236754432/1331\) \(-6768570469244859\) \([]\) \(449820\) \(2.0529\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28611.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 28611.d do not have complex multiplication.

Modular form 28611.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + 2 q^{5} - 2 q^{7} - 4 q^{10} + q^{11} - 2 q^{13} + 4 q^{14} - 4 q^{16} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display