Properties

Label 176400.hc
Number of curves 11
Conductor 176400176400
CM no
Rank 22

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Show commands: SageMath
E = EllipticCurve("hc1")
 
E.isogeny_class()
 

Elliptic curves in class 176400.hc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.hc1 176400ex1 [0,0,0,525,4655][0, 0, 0, -525, 4655] 160000-160000 100018800-100018800 [][] 5529655296 0.373150.37315 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400.hc1 has rank 22.

Complex multiplication

The elliptic curves in class 176400.hc do not have complex multiplication.

Modular form 176400.2.a.hc

sage: E.q_eigenform(10)
 
qq112q134q17+O(q20)q - q^{11} - 2 q^{13} - 4 q^{17} + O(q^{20}) Copy content Toggle raw display