Properties

 Label 195b Number of curves $1$ Conductor $195$ CM no Rank $0$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("195.d1")

sage: E.isogeny_class()

Elliptic curves in class 195b

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
195.d1 195b1 [0, 1, 1, 0, -1] [] 12 $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 195b1 has rank $$0$$.

Modular form195.2.a.d

sage: E.q_eigenform(10)

$$q + 2q^{2} + q^{3} + 2q^{4} + q^{5} + 2q^{6} - 3q^{7} + q^{9} + 2q^{10} - 5q^{11} + 2q^{12} + q^{13} - 6q^{14} + q^{15} - 4q^{16} + 5q^{17} + 2q^{18} + 2q^{19} + O(q^{20})$$