Label 119952.eb
Number of curves $1$
Conductor $119952$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("eb1")
sage: E.isogeny_class()

Elliptic curves in class 119952.eb

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.eb1 119952ck1 \([0, 0, 0, -641067, -197549478]\) \(932673987/68\) \(2124286186143744\) \([]\) \(645120\) \(1.9919\) \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 119952.eb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 119952.eb do not have complex multiplication.

Modular form 119952.2.a.eb

sage: E.q_eigenform(10)
\(q + q^{5} - 2q^{11} - 3q^{13} - q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display