Properties

Label 249696l
Number of curves $1$
Conductor $249696$
CM no
Rank $1$

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

Elliptic curves in class 249696l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
249696.l1 249696l1 \([0, 0, 0, -6936, -235824]\) \(-13824\) \(-2669422030848\) \([]\) \(491520\) \(1.1340\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 249696l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 249696l do not have complex multiplication.

Modular form 249696.2.a.l

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - 3 q^{7} - 6 q^{11} - 3 q^{13} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display