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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 404320.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
404320.c1 | 404320c1 | \([0, 0, 0, 2888, 109744]\) | \(13824/35\) | \(-6744497500160\) | \([]\) | \(1327104\) | \(1.1454\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 404320.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 404320.c do not have complex multiplication.Modular form 404320.2.a.c
sage: E.q_eigenform(10)