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SageMath
E = EllipticCurve("pq1")
E.isogeny_class()
Elliptic curves in class 486720.pq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
486720.pq1 | 486720pq1 | \([0, 0, 0, 1127568, 11964967456]\) | \(74251994112/29007265625\) | \(-61937063217918720000000\) | \([]\) | \(36126720\) | \(3.0525\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 486720.pq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 486720.pq do not have complex multiplication.Modular form 486720.2.a.pq
sage: E.q_eigenform(10)