Properties

Label 2940.h
Number of curves $1$
Conductor $2940$
CM no
Rank $0$

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

Elliptic curves in class 2940.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2940.h1 2940h1 \([0, 1, 0, 19, -225]\) \(57344/1875\) \(-23520000\) \([]\) \(576\) \(0.094425\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2940.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2940.h do not have complex multiplication.

Modular form 2940.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} - 2 q^{11} - q^{13} - q^{15} + 4 q^{17} + q^{19} + O(q^{20})\)  Toggle raw display