Properties

Label 7935.h
Number of curves $1$
Conductor $7935$
CM no
Rank $1$

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

Elliptic curves in class 7935.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7935.h1 7935e1 \([0, -1, 1, -15, 11]\) \(753664/405\) \(214245\) \([]\) \(768\) \(-0.28594\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7935.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7935.h do not have complex multiplication.

Modular form 7935.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + q^{5} + 2 q^{7} + q^{9} - q^{11} + 2 q^{12} + 6 q^{13} - q^{15} + 4 q^{16} - 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display