Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 483.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
483.a1 | 483b1 | \([0, 1, 1, 2, 1]\) | \(512000/483\) | \(-483\) | \([]\) | \(20\) | \(-0.79783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 483.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 483.a do not have complex multiplication.Modular form 483.2.a.a
sage: E.q_eigenform(10)