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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 25350n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25350.k1 | 25350n1 | \([1, 1, 0, -37984950, -95726083500]\) | \(-3214683778008145/238496514048\) | \(-449678562685747200000000\) | \([]\) | \(3245760\) | \(3.2874\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25350n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25350n do not have complex multiplication.Modular form 25350.2.a.n
sage: E.q_eigenform(10)