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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 304200u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 304200.u1 | 304200u1 | \([0, 0, 0, 8238750, 9300175625]\) | \(16640000/19683\) | \(-73155276579199668750000\) | \([]\) | \(21565440\) | \(3.0735\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 304200u do not have complex multiplication.Modular form 304200.2.a.u
sage: E.q_eigenform(10)