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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 21780.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21780.n1 | 21780be1 | \([0, 0, 0, -834537, 294884381]\) | \(-212464384/1215\) | \(-367578956463467760\) | \([]\) | \(443520\) | \(2.2122\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21780.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21780.n do not have complex multiplication.Modular form 21780.2.a.n
sage: E.q_eigenform(10)