Properties

Label 390720t
Number of curves $1$
Conductor $390720$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 390720t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
390720.t1 390720t1 \([0, -1, 0, 479, -6719]\) \(46268279/97680\) \(-25606225920\) \([]\) \(258048\) \(0.68148\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 390720t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 390720t do not have complex multiplication.

Modular form 390720.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} + q^{11} + 2 q^{13} + q^{15} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display