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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 121968n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 121968.t1 | 121968n1 | \([0, 0, 0, 467181, -117406179]\) | \(15185664/16807\) | \(-12480605093497985136\) | \([]\) | \(3548160\) | \(2.3507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121968n do not have complex multiplication.Modular form 121968.2.a.n
sage: E.q_eigenform(10)