Properties

Label 317520.ii
Number of curves $1$
Conductor $317520$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ii1")
 
E.isogeny_class()
 

Elliptic curves in class 317520.ii

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
317520.ii1 317520ii1 \([0, 0, 0, -2352, -38416]\) \(36864/5\) \(195165573120\) \([]\) \(368640\) \(0.89361\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 317520.ii1 has rank \(0\).

Complex multiplication

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

Modular form 317520.2.a.ii

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