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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 16184e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16184.f1 | 16184e1 | \([0, -1, 0, -232, -1287]\) | \(-299944192/343\) | \(-1586032\) | \([]\) | \(3024\) | \(0.10292\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16184e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16184e do not have complex multiplication.Modular form 16184.2.a.e
sage: E.q_eigenform(10)