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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 177600.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.q1 | 177600hz1 | \([0, -1, 0, -291708033, 1917768311937]\) | \(-670206957616537490521/6109179936768\) | \(-25023201021001728000000\) | \([]\) | \(38154240\) | \(3.4624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177600.q do not have complex multiplication.Modular form 177600.2.a.q
sage: E.q_eigenform(10)