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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 38439.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38439.a1 | 38439b1 | \([0, 0, 1, -57, 76]\) | \(28094464/12813\) | \(9340677\) | \([]\) | \(24192\) | \(0.032470\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38439.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 38439.a do not have complex multiplication.Modular form 38439.2.a.a
sage: E.q_eigenform(10)