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Properties

Label 428400.l
Number of curves $1$
Conductor $428400$
CM no
Rank $1$

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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 428400.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 428400.l do not have complex multiplication.

Modular form 428400.2.a.l

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

Elliptic curves in class 428400.l

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
428400.l1 428400l1 \([0, 0, 0, -75, -1195]\) \(-160000/2023\) \(-589906800\) \([]\) \(175104\) \(0.36469\) \(\Gamma_0(N)\)-optimal