Properties

Label 254100.o
Number of curves $1$
Conductor $254100$
CM no
Rank $1$

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

Elliptic curves in class 254100.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.o1 254100o1 \([0, -1, 0, -5161658, 4515517437]\) \(-34339609640704/916839\) \(-406059053919750000\) \([]\) \(6048000\) \(2.4837\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 254100.o do not have complex multiplication.

Modular form 254100.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + q^{13} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display