Properties

Label 435344b
Number of curves $1$
Conductor $435344$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 435344b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.b1 435344b1 \([0, 0, 0, -1422811, -662762399]\) \(-4124632486295808/70140333767\) \(-5416863908632952048\) \([]\) \(12579840\) \(2.3932\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 435344b do not have complex multiplication.

Modular form 435344.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3q^{3} - 2q^{5} - q^{7} + 6q^{9} + 2q^{11} + 6q^{15} + 2q^{19} + O(q^{20})\)  Toggle raw display