Properties

Label 178752.ds
Number of curves 11
Conductor 178752178752
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("ds1")
 
E.isogeny_class()
 

Elliptic curves in class 178752.ds

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
178752.ds1 178752jy1 [0,1,0,10715,308867][0, -1, 0, 10715, -308867] 70575104/6173170575104/61731 118990281424896-118990281424896 [][] 506880506880 1.38831.3883 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 178752.ds1 has rank 11.

Complex multiplication

The elliptic curves in class 178752.ds do not have complex multiplication.

Modular form 178752.2.a.ds

sage: E.q_eigenform(10)
 
qq3+q5+q9+5q112q13q15+q17+q19+O(q20)q - q^{3} + q^{5} + q^{9} + 5 q^{11} - 2 q^{13} - q^{15} + q^{17} + q^{19} + O(q^{20}) Copy content Toggle raw display