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SageMath
E = EllipticCurve("gc1")
E.isogeny_class()
Elliptic curves in class 405600.gc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.gc1 | 405600gc1 | \([0, 1, 0, 377152, -2121332472]\) | \(43709080/14348907\) | \(-1947686083644611980800\) | \([]\) | \(22913280\) | \(2.7642\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.gc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600.gc do not have complex multiplication.Modular form 405600.2.a.gc
sage: E.q_eigenform(10)