Properties

Label 2960.h
Number of curves $1$
Conductor $2960$
CM no
Rank $1$

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

Elliptic curves in class 2960.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2960.h1 2960k1 \([0, 1, 0, -45, -25]\) \(40247296/23125\) \(5920000\) \([]\) \(384\) \(-0.010884\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2960.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2960.h do not have complex multiplication.

Modular form 2960.2.a.h

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