Properties

Label 463680.et
Number of curves $1$
Conductor $463680$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("et1")
 
E.isogeny_class()
 

Elliptic curves in class 463680.et

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
463680.et1 463680et1 \([0, 0, 0, -117948, -15593272]\) \(-243090490825984/34514375\) \(-25764842880000\) \([]\) \(1720320\) \(1.5894\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 463680.et1 has rank \(0\).

Complex multiplication

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

Modular form 463680.2.a.et

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 2 q^{11} + q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display