Properties

Label 3150.r
Number of curves $1$
Conductor $3150$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 3150.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3150.r1 3150t1 \([1, -1, 0, -1416492, 649694416]\) \(-1103770289367265/891813888\) \(-253957939200000000\) \([]\) \(91200\) \(2.2693\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3150.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3150.r do not have complex multiplication.

Modular form 3150.2.a.r

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