Show commands:
SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 161700dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161700.bd1 | 161700dg1 | \([0, -1, 0, -1878, 31977]\) | \(-152622848/99\) | \(-475398000\) | \([]\) | \(87552\) | \(0.60510\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700dg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 161700dg do not have complex multiplication.Modular form 161700.2.a.dg
sage: E.q_eigenform(10)