Properties

Label 317520f
Number of curves $1$
Conductor $317520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 317520f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
317520.f1 317520f1 \([0, 0, 0, -21168, 1037232]\) \(36864/5\) \(142275702804480\) \([]\) \(1105920\) \(1.4429\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 317520f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 317520f do not have complex multiplication.

Modular form 317520.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{11} - 4 q^{13} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display