Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 222.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222.d1 | 222b1 | \([1, 1, 1, 17, 179]\) | \(541343375/13108878\) | \(-13108878\) | \([]\) | \(44\) | \(0.045933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 222.d do not have complex multiplication.Modular form 222.2.a.d
sage: E.q_eigenform(10)