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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 18207g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18207.a1 | 18207g1 | \([0, 0, 1, 51153, 3096418]\) | \(841232384/722211\) | \(-12708232609048011\) | \([]\) | \(110592\) | \(1.7777\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18207g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18207g do not have complex multiplication.Modular form 18207.2.a.g
sage: E.q_eigenform(10)