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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 8619.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8619.a1 | 8619h1 | \([0, -1, 1, -9520, -632838]\) | \(-692224/867\) | \(-119523312433083\) | \([]\) | \(68016\) | \(1.3946\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8619.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8619.a do not have complex multiplication.Modular form 8619.2.a.a
sage: E.q_eigenform(10)