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SageMath
E = EllipticCurve("id1")
E.isogeny_class()
Elliptic curves in class 177600id
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.x1 | 177600id1 | \([0, -1, 0, -5633, 283137]\) | \(-4826809/5550\) | \(-22732800000000\) | \([]\) | \(516096\) | \(1.2571\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600id1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177600id do not have complex multiplication.Modular form 177600.2.a.id
sage: E.q_eigenform(10)