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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 30960n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 30960.bi1 | 30960n1 | \([0, 0, 0, -9867, -383654]\) | \(-71157653138/1410615\) | \(-2106036910080\) | \([]\) | \(45056\) | \(1.1575\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30960n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30960n do not have complex multiplication.Modular form 30960.2.a.n
sage: E.q_eigenform(10)