Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 485100v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485100.v1 485100v1 \([0, 0, 0, -35280, 2682260]\) \(-238878720/14641\) \(-297647828755200\) \([]\) \(1900800\) \(1.5319\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485100v1 has rank \(1\).

Complex multiplication

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

Modular form 485100.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{11} - 3 q^{13} - 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display