Properties

Label 190608.e
Number of curves $1$
Conductor $190608$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 190608.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190608.e1 190608bh1 \([0, -1, 0, -4213712, 3299385024]\) \(329474953/3564\) \(89502188104920121344\) \([]\) \(7879680\) \(2.6437\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190608.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 190608.e do not have complex multiplication.

Modular form 190608.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} + q^{9} + q^{11} - 6 q^{13} + 3 q^{15} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display