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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 16562.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16562.a1 | 16562t1 | \([1, -1, 0, 27431, 2936779]\) | \(4019679/8918\) | \(-5064257989701638\) | \([]\) | \(290304\) | \(1.6976\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16562.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 16562.a do not have complex multiplication.Modular form 16562.2.a.a
sage: E.q_eigenform(10)