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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 22218.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.v1 | 22218r1 | \([1, 1, 1, -11, 5]\) | \(279841/84\) | \(44436\) | \([]\) | \(1920\) | \(-0.40288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22218.v do not have complex multiplication.Modular form 22218.2.a.v
sage: E.q_eigenform(10)