Properties

Label 146016e
Number of curves $1$
Conductor $146016$
CM no
Rank $2$

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

Elliptic curves in class 146016e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
146016.t1 146016e1 \([0, 0, 0, -1755, -27378]\) \(27000\) \(22140698112\) \([]\) \(89856\) \(0.75416\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 146016e1 has rank \(2\).

Complex multiplication

The elliptic curves in class 146016e do not have complex multiplication.

Modular form 146016.2.a.e

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + q^{11} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display