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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 20181.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20181.g1 | 20181h1 | \([1, 1, 1, -19240, -6403186]\) | \(-961/21\) | \(-17212194026596821\) | \([]\) | \(107880\) | \(1.7962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20181.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20181.g do not have complex multiplication.Modular form 20181.2.a.g
sage: E.q_eigenform(10)