Show commands:
SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 163800dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163800.db1 | 163800dk1 | \([0, 0, 0, -5268675, -4884673250]\) | \(-693346671296498/40610171875\) | \(-947354089500000000000\) | \([]\) | \(8985600\) | \(2.7810\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163800dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 163800dk do not have complex multiplication.Modular form 163800.2.a.dk
sage: E.q_eigenform(10)