Properties

Label 7935d
Number of curves $1$
Conductor $7935$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 7935d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7935.g1 7935d1 \([0, -1, 1, -386875, 92750133]\) \(-43258336804864/646875\) \(-95760715696875\) \([]\) \(42240\) \(1.8196\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7935d1 has rank \(1\).

Complex multiplication

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

Modular form 7935.2.a.d

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