Properties

Label 91035.b
Number of curves $1$
Conductor $91035$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 91035.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.b1 91035q1 \([0, 0, 1, -94503, -10713906]\) \(443032031678464/21012699645\) \(4426976573908245\) \([]\) \(608256\) \(1.7628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91035.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 91035.b do not have complex multiplication.

Modular form 91035.2.a.b

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