Properties

Label 493680s
Number of curves $1$
Conductor $493680$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 493680s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
493680.s1 493680s1 \([0, -1, 0, -697176, 226326960]\) \(-6874064715655619/72615234375\) \(-395881992000000000\) \([]\) \(7741440\) \(2.1935\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 493680s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 493680s do not have complex multiplication.

Modular form 493680.2.a.s

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