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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 16016.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16016.a1 | 16016c1 | \([0, 0, 0, 32348, 4190188]\) | \(14622648823378944/38090758396691\) | \(-9751234149552896\) | \([]\) | \(119040\) | \(1.7517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16016.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16016.a do not have complex multiplication.Modular form 16016.2.a.a
sage: E.q_eigenform(10)