Properties

Label 435120.bc
Number of curves $1$
Conductor $435120$
CM no
Rank $1$

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

Elliptic curves in class 435120.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435120.bc1 435120bc1 \([0, -1, 0, 1281334, 1426192755]\) \(51476622143744/224325674775\) \(-1013863213426578303600\) \([]\) \(15434496\) \(2.7132\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435120.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 435120.bc do not have complex multiplication.

Modular form 435120.2.a.bc

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