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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 8820.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8820.i1 | 8820k1 | \([0, 0, 0, 8232, -67228]\) | \(8192/5\) | \(-37654757763840\) | \([]\) | \(20160\) | \(1.2942\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8820.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8820.i do not have complex multiplication.Modular form 8820.2.a.i
sage: E.q_eigenform(10)