Properties

Label 464968.a
Number of curves $1$
Conductor $464968$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 464968.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
464968.a1 464968a1 \([0, 0, 0, -3039259, -2069133953]\) \(-4124632486295808/70140333767\) \(-52797020731241019632\) \([]\) \(19160064\) \(2.5830\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 464968.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 464968.a do not have complex multiplication.

Modular form 464968.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 2 q^{5} - q^{7} + 6 q^{9} + 2 q^{11} + q^{13} - 6 q^{15} + O(q^{20})\) Copy content Toggle raw display