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SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 93600.ep
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 93600.ep1 | 93600en1 | \([0, 0, 0, 285, -470]\) | \(274360/169\) | \(-1576972800\) | \([]\) | \(51840\) | \(0.45404\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600.ep1 has rank \(0\).
Complex multiplication
The elliptic curves in class 93600.ep do not have complex multiplication.Modular form 93600.2.a.ep
sage: E.q_eigenform(10)