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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 388815.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.n1 | 388815n1 | \([1, 1, 1, 46794, -30360156]\) | \(182074754111/6511640625\) | \(-405260556174140625\) | \([]\) | \(4838400\) | \(2.0585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388815.n do not have complex multiplication.Modular form 388815.2.a.n
sage: E.q_eigenform(10)