Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 501563.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
501563.a1 | \([0, 1, 1, 6, -32]\) | \(20123648/501563\) | \(-501563\) | \([]\) | \(65852\) | \(-0.22603\) |
Rank
sage: E.rank()
The elliptic curve 501563.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 501563.a do not have complex multiplication.Modular form 501563.2.a.a
sage: E.q_eigenform(10)