Properties

Label 7935h
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 7935h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7935.b1 7935h1 \([0, 1, 1, -53076, -5367004]\) \(-111701610496/18862875\) \(-2792382469720875\) \([]\) \(101376\) \(1.6905\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 7935.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} - q^{5} - 2 q^{6} + 5 q^{7} + q^{9} + 2 q^{10} + 2 q^{11} + 2 q^{12} - 6 q^{13} - 10 q^{14} - q^{15} - 4 q^{16} - q^{17} - 2 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display