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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 12675.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12675.g1 | 12675h1 | \([1, 1, 1, -1648, -26434]\) | \(117161545345/19683\) | \(83160675\) | \([]\) | \(9072\) | \(0.52707\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12675.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12675.g do not have complex multiplication.Modular form 12675.2.a.g
sage: E.q_eigenform(10)