Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 79.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79.a1 | 79a1 | \([1, 1, 1, -2, 0]\) | \(912673/79\) | \(79\) | \([]\) | \(2\) | \(-0.89504\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79.a do not have complex multiplication.Modular form 79.2.a.a
sage: E.q_eigenform(10)