Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 110400.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.a1 | 110400cd1 | \([0, -1, 0, -1328833, 336505537]\) | \(2534167381585/990074583\) | \(101383637299200000000\) | \([]\) | \(4915200\) | \(2.5375\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 110400.a do not have complex multiplication.Modular form 110400.2.a.a
sage: E.q_eigenform(10)