Properties

Label 75150t
Number of curves $1$
Conductor $75150$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 75150t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75150.v1 75150t1 \([1, -1, 0, -2367, -63959]\) \(-1030301/668\) \(-951117187500\) \([]\) \(111360\) \(0.99956\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75150t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 75150t do not have complex multiplication.

Modular form 75150.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2 q^{7} - q^{8} + 3 q^{11} + 3 q^{13} - 2 q^{14} + q^{16} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display