Properties

Label 268770l
Number of curves $1$
Conductor $268770$
CM no
Rank $1$

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

Elliptic curves in class 268770l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
268770.l1 268770l1 \([1, 1, 0, -3005816322, 65728833252084]\) \(-124427822010671478697670089/5317924709672681472000\) \(-128361774616529316445421568000\) \([]\) \(448842240\) \(4.3515\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 268770l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 268770l do not have complex multiplication.

Modular form 268770.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} - 5 q^{11} - q^{12} + 2 q^{13} + q^{14} - q^{15} + q^{16} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display