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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 30912.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 30912.q1 | 30912bq1 | \([0, -1, 0, -1013, -60627]\) | \(-7023616000/93934323\) | \(-1539019948032\) | \([]\) | \(57600\) | \(1.0201\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30912.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30912.q do not have complex multiplication.Modular form 30912.2.a.q
sage: E.q_eigenform(10)