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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 6936a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 6936.f1 | 6936a1 | \([0, -1, 0, -368, 2844]\) | \(-18674500/3\) | \(-887808\) | \([]\) | \(1440\) | \(0.15107\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6936a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6936a do not have complex multiplication.Modular form 6936.2.a.a
sage: E.q_eigenform(10)