Properties

Label 70602.ba
Number of curves $1$
Conductor $70602$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 70602.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70602.ba1 70602ba1 \([1, 1, 1, -10121, -393289]\) \(40575253489/338688\) \(957051341568\) \([]\) \(241920\) \(1.1247\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70602.ba1 has rank \(0\).

Complex multiplication

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

Modular form 70602.2.a.ba

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