Properties

Label 1260.h
Number of curves $1$
Conductor $1260$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1260.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1260.h1 1260i1 \([0, 0, 0, 288, -5724]\) \(14155776/84035\) \(-15682947840\) \([]\) \(840\) \(0.63824\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1260.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1260.h do not have complex multiplication.

Modular form 1260.2.a.h

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