Properties

Label 297825.o
Number of curves $1$
Conductor $297825$
CM no
Rank $0$

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

Elliptic curves in class 297825.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
297825.o1 297825o1 \([1, 1, 1, -496563, -104037594]\) \(51026761/11979\) \(3178845338564671875\) \([]\) \(5745600\) \(2.2620\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 297825.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 297825.o do not have complex multiplication.

Modular form 297825.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{6} + 3 q^{7} + 3 q^{8} + q^{9} + q^{11} + q^{12} - 6 q^{13} - 3 q^{14} - q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display