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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 3120y
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 3120.u1 | 3120y1 | \([0, 1, 0, -3045, -67437]\) | \(-762549907456/24024195\) | \(-98403102720\) | \([]\) | \(3360\) | \(0.88571\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3120y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3120y do not have complex multiplication.Modular form 3120.2.a.y
sage: E.q_eigenform(10)