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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 549c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
549.c1 | 549c1 | \([1, -1, 0, -18, -27]\) | \(-912673/61\) | \(-44469\) | \([]\) | \(48\) | \(-0.35615\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 549c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 549c do not have complex multiplication.Modular form 549.2.a.c
sage: E.q_eigenform(10)