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Properties

Label 400400l
Number of curves $1$
Conductor $400400$
CM no
Rank $2$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 400400l1 has rank \(2\).

Complex multiplication

The elliptic curves in class 400400l do not have complex multiplication.

Modular form 400400.2.a.l

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{3} - q^{7} + q^{9} - q^{11} + q^{13} - 7 q^{17} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 400400l

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
400400.l1 400400l1 \([0, 1, 0, 2890792, -1365874412]\) \(1669760225634695/1470722885632\) \(-2353156617011200000000\) \([]\) \(19008000\) \(2.7883\) \(\Gamma_0(N)\)-optimal