Properties

Label 2088.d
Number of curves $1$
Conductor $2088$
CM no
Rank $1$

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

Elliptic curves in class 2088.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2088.d1 2088d1 \([0, 0, 0, -723, 7486]\) \(-55990084/29\) \(-21648384\) \([]\) \(480\) \(0.35858\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2088.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2088.d do not have complex multiplication.

Modular form 2088.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2 q^{7} - 3 q^{11} - q^{13} + O(q^{20})\) Copy content Toggle raw display