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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 22218d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.i1 | 22218d1 | \([1, 1, 0, -10901, -442647]\) | \(270850291507273/551124\) | \(291544596\) | \([]\) | \(38016\) | \(0.87484\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22218d do not have complex multiplication.Modular form 22218.2.a.d
sage: E.q_eigenform(10)