Properties

Label 52878g
Number of curves $1$
Conductor $52878$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 52878g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
52878.e1 52878g1 \([1, 0, 0, -15910437, -24428390271]\) \(-445420333324856312324474833/713479073857536\) \(-713479073857536\) \([]\) \(2866560\) \(2.5436\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 52878g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 52878g do not have complex multiplication.

Modular form 52878.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 3 q^{5} + q^{6} + q^{7} + q^{8} + q^{9} - 3 q^{10} - q^{11} + q^{12} - 5 q^{13} + q^{14} - 3 q^{15} + q^{16} + 6 q^{17} + q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display