Properties

Label 463680.jt
Number of curves $1$
Conductor $463680$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("jt1")
 
E.isogeny_class()
 

Elliptic curves in class 463680.jt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
463680.jt1 463680jt1 \([0, 0, 0, -6492, 396776]\) \(-40535147776/67648175\) \(-50499092044800\) \([]\) \(921600\) \(1.3202\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 463680.jt1 has rank \(1\).

Complex multiplication

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

Modular form 463680.2.a.jt

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