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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 52800.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 52800.q1 | 52800ft1 | \([0, -1, 0, -492833, 137807937]\) | \(-323194518662500/12784876137\) | \(-523668526571520000\) | \([]\) | \(758784\) | \(2.1686\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52800.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 52800.q do not have complex multiplication.Modular form 52800.2.a.q
sage: E.q_eigenform(10)