Properties

Label 608.f
Number of curves $1$
Conductor $608$
CM no
Rank $0$

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

Elliptic curves in class 608.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
608.f1 608c1 \([0, 0, 0, 5, 2]\) \(27000/19\) \(-9728\) \([]\) \(48\) \(-0.54628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 608.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 608.f do not have complex multiplication.

Modular form 608.2.a.f

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