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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 56550.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56550.p1 | 56550g1 | \([1, 1, 0, 21875, -1953125]\) | \(74082708125999/149327343750\) | \(-2333239746093750\) | \([]\) | \(359424\) | \(1.6333\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56550.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56550.p do not have complex multiplication.Modular form 56550.2.a.p
sage: E.q_eigenform(10)