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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 18207.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18207.g1 | 18207b1 | \([0, 0, 1, -110109, -16491713]\) | \(-8390176768/1821771\) | \(-32056406823515571\) | \([]\) | \(258048\) | \(1.8881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18207.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18207.g do not have complex multiplication.Modular form 18207.2.a.g
sage: E.q_eigenform(10)