Properties

Label 95370.i
Number of curves $1$
Conductor $95370$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 95370.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
95370.i1 95370f1 \([1, 1, 0, 37, 33]\) \(1092727/660\) \(-3242580\) \([]\) \(23040\) \(-0.061430\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 95370.i1 has rank \(2\).

Complex multiplication

The elliptic curves in class 95370.i do not have complex multiplication.

Modular form 95370.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} + q^{11} - q^{12} + q^{13} - q^{14} + q^{15} + q^{16} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display