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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 229320.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 229320.x1 | 229320bz1 | \([0, 0, 0, -5016963, 4501672238]\) | \(-7791602019623044/375378046875\) | \(-672803923362480000000\) | \([]\) | \(10386432\) | \(2.7587\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 229320.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 229320.x do not have complex multiplication.Modular form 229320.2.a.x
sage: E.q_eigenform(10)