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SageMath
E = EllipticCurve("gq1")
E.isogeny_class()
Elliptic curves in class 28224.gq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28224.gq1 | 28224gm1 | \([0, 0, 0, 42, -70]\) | \(3584/3\) | \(-6858432\) | \([]\) | \(7680\) | \(-0.00056186\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.gq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28224.gq do not have complex multiplication.Modular form 28224.2.a.gq
sage: E.q_eigenform(10)