Properties

Label 70602.u
Number of curves $1$
Conductor $70602$
CM no
Rank $1$

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

Elliptic curves in class 70602.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70602.u1 70602r1 \([1, 1, 1, -7295575, -7604359807]\) \(-131173946441/333396\) \(-109147827399209021556\) \([]\) \(3542400\) \(2.7217\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70602.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 70602.u do not have complex multiplication.

Modular form 70602.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{7} + q^{8} + q^{9} + q^{10} - 2 q^{11} - q^{12} + q^{13} + q^{14} - q^{15} + q^{16} + 2 q^{17} + q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display