Properties

Label 63480.q
Number of curves $1$
Conductor $63480$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 63480.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63480.q1 63480s1 \([0, 1, 0, 4028159, -13683426541]\) \(190737654201344/2245153696875\) \(-85085010805382949600000\) \([]\) \(5068800\) \(3.0807\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63480.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 63480.q do not have complex multiplication.

Modular form 63480.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 3 q^{7} + q^{9} + 4 q^{11} - q^{15} - 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display