Properties

Label 458640.u
Number of curves $1$
Conductor $458640$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 458640.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
458640.u1 458640u1 \([0, 0, 0, -142128, 20632752]\) \(-80373952512/40625\) \(-160487308800000\) \([]\) \(2476800\) \(1.6780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 458640.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 458640.u do not have complex multiplication.

Modular form 458640.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{11} - q^{13} + 7 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display