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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 54208cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54208.y1 | 54208cc1 | \([0, -1, 0, 191, -31]\) | \(24167/14\) | \(-444071936\) | \([]\) | \(18432\) | \(0.34875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54208cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54208cc do not have complex multiplication.Modular form 54208.2.a.cc
sage: E.q_eigenform(10)