Show commands:
SageMath
E = EllipticCurve("fl1")
E.isogeny_class()
Elliptic curves in class 52800fl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52800.l1 | 52800fl1 | \([0, -1, 0, -54503083, -154856263463]\) | \(-716220782494793351680/5787689787\) | \(-144692244675000000\) | \([]\) | \(2534400\) | \(2.8822\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52800fl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52800fl do not have complex multiplication.Modular form 52800.2.a.fl
sage: E.q_eigenform(10)