Properties

Label 309168.l
Number of curves $1$
Conductor $309168$
CM no
Rank $1$

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

Elliptic curves in class 309168.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
309168.l1 309168l1 \([0, 0, 0, -43011, -3433374]\) \(-218293642278/2147\) \(-86547253248\) \([]\) \(499200\) \(1.2590\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 309168.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 309168.l do not have complex multiplication.

Modular form 309168.2.a.l

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