Properties

Label 26520.d
Number of curves $1$
Conductor $26520$
CM no
Rank $1$

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

Elliptic curves in class 26520.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26520.d1 26520l1 \([0, -1, 0, 64, 750465]\) \(1783774976/15207200916375\) \(-243315214662000\) \([]\) \(65280\) \(1.4393\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26520.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 26520.d do not have complex multiplication.

Modular form 26520.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} - 3 q^{11} - q^{13} + q^{15} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display