Properties

Label 84150.l
Number of curves $1$
Conductor $84150$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 84150.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84150.l1 84150da1 \([1, -1, 0, -2065617, 1273656541]\) \(-684566528248637/95627575296\) \(-136157231232000000000\) \([]\) \(3317760\) \(2.5948\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84150.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 84150.l do not have complex multiplication.

Modular form 84150.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{7} - q^{8} - q^{11} - 5 q^{13} + 3 q^{14} + q^{16} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display