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Properties

Label 485100ja
Number of curves $1$
Conductor $485100$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("ja1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 485100ja1 has rank \(1\).

Complex multiplication

The elliptic curves in class 485100ja do not have complex multiplication.

Modular form 485100.2.a.ja

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

Elliptic curves in class 485100ja

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485100.ja1 485100ja1 \([0, 0, 0, -6825, -550375]\) \(-3937024/12375\) \(-110511843750000\) \([]\) \(1327104\) \(1.3812\) \(\Gamma_0(N)\)-optimal