Properties

Label 5265.o
Number of curves $1$
Conductor $5265$
CM no
Rank $1$

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

Elliptic curves in class 5265.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5265.o1 5265l1 \([0, 0, 1, -25903827, 50730580577]\) \(32553894958643707121664/10770194675703125\) \(635969225405593828125\) \([]\) \(514080\) \(2.9649\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5265.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5265.o do not have complex multiplication.

Modular form 5265.2.a.o

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + q^{5} + 2 q^{10} - 5 q^{11} + q^{13} - 4 q^{16} - 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display