Properties

 Label 1400.l Number of curves $1$ Conductor $1400$ CM no Rank $0$

Related objects

Show commands: SageMath
E = EllipticCurve("l1")

E.isogeny_class()

Elliptic curves in class 1400.l

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1400.l1 1400d1 $$[0, -1, 0, -708, -16963]$$ $$-6288640/16807$$ $$-105043750000$$ $$[]$$ $$1200$$ $$0.80228$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 1400.l1 has rank $$0$$.

Complex multiplication

The elliptic curves in class 1400.l do not have complex multiplication.

Modular form1400.2.a.l

sage: E.q_eigenform(10)

$$q + 2 q^{3} - q^{7} + q^{9} + q^{11} + 4 q^{13} + 6 q^{19} + O(q^{20})$$