Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 91035m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91035.h1 91035m1 \([1, -1, 1, 787, 5406]\) \(256176791/212625\) \(-44796047625\) \([]\) \(86400\) \(0.73151\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91035m1 has rank \(0\).

Complex multiplication

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

Modular form 91035.2.a.m

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