Properties

Label 95370u
Number of curves $1$
Conductor $95370$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 95370u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
95370.u1 95370u1 \([1, 1, 0, -827557, -352602611]\) \(-2596717791529849/718080000000\) \(-17332705547520000000\) \([]\) \(4064256\) \(2.4074\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 95370u1 has rank \(1\).

Complex multiplication

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

Modular form 95370.2.a.u

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