Properties

Label 463680g
Number of curves $1$
Conductor $463680$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 463680g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
463680.g1 463680g1 \([0, 0, 0, 828132, -518544542]\) \(1346216501445963776/3268768272021875\) \(-152507652499452600000\) \([]\) \(13728000\) \(2.5567\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 463680g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 463680g do not have complex multiplication.

Modular form 463680.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - 5 q^{11} - 3 q^{13} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display