Properties

Label 299538o
Number of curves $1$
Conductor $299538$
CM no
Rank $0$

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

Elliptic curves in class 299538o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
299538.o1 299538o1 \([1, -1, 1, -48703007, 128391892615]\) \(47832147/1024\) \(273508679967055647501312\) \([]\) \(53127360\) \(3.2861\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 299538o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 299538o do not have complex multiplication.

Modular form 299538.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 4 q^{5} - q^{7} + q^{8} - 4 q^{10} - q^{13} - q^{14} + q^{16} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display