Properties

Label 5312.l
Number of curves $1$
Conductor $5312$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 5312.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5312.l1 5312e1 \([0, 1, 0, 63, -97]\) \(103823/83\) \(-21757952\) \([]\) \(1024\) \(0.095853\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5312.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5312.l do not have complex multiplication.

Modular form 5312.2.a.l

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