Properties

Label 4900.o
Number of curves $1$
Conductor $4900$
CM no
Rank $1$

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

Elliptic curves in class 4900.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4900.o1 4900e1 \([0, 1, 0, 22867, 318863]\) \(8192/5\) \(-807072140000000\) \([]\) \(16128\) \(1.5496\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4900.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4900.o do not have complex multiplication.

Modular form 4900.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} - q^{11} - 5 q^{13} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display