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SageMath
E = EllipticCurve("hg1")
E.isogeny_class()
Elliptic curves in class 209088hg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
209088.ft1 | 209088hg1 | \([0, 0, 0, -39204, -3090582]\) | \(-2985984/121\) | \(-270030454702272\) | \([]\) | \(691200\) | \(1.5370\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209088hg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 209088hg do not have complex multiplication.Modular form 209088.2.a.hg
sage: E.q_eigenform(10)