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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 176400.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.g1 | 176400np1 | \([0, 0, 0, -2572500, -1899362500]\) | \(-8780800/2187\) | \(-468926266567500000000\) | \([]\) | \(6289920\) | \(2.6844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.g do not have complex multiplication.Modular form 176400.2.a.g
sage: E.q_eigenform(10)