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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 8016.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8016.a1 | 8016g1 | \([0, -1, 0, -432, -5184]\) | \(-2181825073/1731456\) | \(-7092043776\) | \([]\) | \(5376\) | \(0.58865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8016.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8016.a do not have complex multiplication.Modular form 8016.2.a.a
sage: E.q_eigenform(10)