Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 91035.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.l1 91035z1 \([1, -1, 1, -2273, 20706]\) \(6161940649/2734375\) \(576080859375\) \([]\) \(155520\) \(0.95226\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91035.l1 has rank \(1\).

Complex multiplication

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

Modular form 91035.2.a.l

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