Properties

Label 414736.u
Number of curves $1$
Conductor $414736$
CM no
Rank $0$

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

Elliptic curves in class 414736.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
414736.u1 414736u1 \([0, -1, 0, 43202, 26725511]\) \(32000/1127\) \(-314050258267056752\) \([]\) \(2433024\) \(2.0373\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 414736.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 414736.u do not have complex multiplication.

Modular form 414736.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} - 2 q^{11} + 3 q^{13} + O(q^{20})\) Copy content Toggle raw display