Properties

Label 376712bc
Number of curves $1$
Conductor $376712$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 376712bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
376712.bc1 376712bc1 \([0, 1, 0, -15696, -708079]\) \(12544\) \(34094341409296\) \([]\) \(719280\) \(1.3401\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 376712bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 376712bc do not have complex multiplication.

Modular form 376712.2.a.bc

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