Properties

Label 10780d
Number of curves $1$
Conductor $10780$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 10780d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10780.g1 10780d1 \([0, 0, 0, 7, -7]\) \(48384/55\) \(-43120\) \([]\) \(720\) \(-0.42428\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10780d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10780d do not have complex multiplication.

Modular form 10780.2.a.d

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