Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 26520.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26520.o1 26520t1 \([0, -1, 0, -9180931520, 338599261236780]\) \(-41788232654067676478925951960962/428246593676749551934035\) \(-877049023849983082360903680\) \([]\) \(24675840\) \(4.3279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26520.o1 has rank \(1\).

Complex multiplication

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

Modular form 26520.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 2 q^{7} + q^{9} + q^{11} + q^{13} - q^{15} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display