Properties

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

Related objects

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)

$$q - 3q^{3} - 2q^{5} - q^{7} + 6q^{9} + 2q^{11} + 6q^{15} + 2q^{19} + O(q^{20})$$