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Properties

Label 458640o
Number of curves $1$
Conductor $458640$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("o1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 458640o1 has rank \(1\).

Complex multiplication

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

Modular form 458640.2.a.o

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

Elliptic curves in class 458640o

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
458640.o1 458640o1 \([0, 0, 0, -475960863, 3996913155662]\) \(-11083722100790228176/582924346875\) \(-627139287892079071200000\) \([]\) \(99993600\) \(3.6346\) \(\Gamma_0(N)\)-optimal