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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 338100.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.g1 | 338100g1 | \([0, -1, 0, -424258, 106497637]\) | \(689411888107264/56588625\) | \(693210656250000\) | \([]\) | \(2612736\) | \(1.8923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338100.g do not have complex multiplication.Modular form 338100.2.a.g
sage: E.q_eigenform(10)