Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 70602.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70602.t1 70602s1 \([1, 1, 1, 2220, 75669]\) \(17555727799/45177216\) \(-3113658903936\) \([]\) \(120960\) \(1.0810\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70602.t1 has rank \(1\).

Complex multiplication

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

Modular form 70602.2.a.t

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