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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 20339.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20339.a1 | 20339e1 | \([1, 1, 1, -490, 2934]\) | \(7037694889/1771561\) | \(3275616289\) | \([]\) | \(8064\) | \(0.53571\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20339.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20339.a do not have complex multiplication.Modular form 20339.2.a.a
sage: E.q_eigenform(10)