Properties

Label 1512.d
Number of curves 11
Conductor 15121512
CM no
Rank 11

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 1512.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1512.d1 1512k1 [0,0,0,108,324][0, 0, 0, -108, 324] 27648/727648/7 3527193635271936 [][] 288288 0.157960.15796 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1512.d1 has rank 11.

Complex multiplication

The elliptic curves in class 1512.d do not have complex multiplication.

Modular form 1512.2.a.d

sage: E.q_eigenform(10)
 
qq5q7+2q114q13+3q17+2q19+O(q20)q - q^{5} - q^{7} + 2 q^{11} - 4 q^{13} + 3 q^{17} + 2 q^{19} + O(q^{20}) Copy content Toggle raw display