Properties

Label 196294.e
Number of curves $1$
Conductor $196294$
CM no
Rank $0$

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

Elliptic curves in class 196294.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
196294.e1 196294j1 \([1, -1, 0, -940, -14932]\) \(-781229961/392588\) \(-46187585612\) \([]\) \(787968\) \(0.75129\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 196294.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 196294.e do not have complex multiplication.

Modular form 196294.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} + q^{4} + 4 q^{5} - 3 q^{6} - q^{8} + 6 q^{9} - 4 q^{10} - 6 q^{11} + 3 q^{12} + 3 q^{13} + 12 q^{15} + q^{16} + 6 q^{17} - 6 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display