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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 8016.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8016.i1 | 8016d1 | \([0, 1, 0, 160, 2196]\) | \(219804478/1095687\) | \(-2243966976\) | \([]\) | \(3584\) | \(0.47653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8016.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8016.i do not have complex multiplication.Modular form 8016.2.a.i
sage: E.q_eigenform(10)