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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 794.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
794.a1 | 794a1 | \([1, 0, 1, -3, 2]\) | \(-1771561/1588\) | \(-1588\) | \([]\) | \(88\) | \(-0.68884\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 794.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 794.a do not have complex multiplication.Modular form 794.2.a.a
sage: E.q_eigenform(10)