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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 123210g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123210.d1 | 123210g1 | \([1, -1, 0, -1294282290, -13186095238700]\) | \(2528326645183247067/671088640000000\) | \(63643996613514237050880000000\) | \([]\) | \(147692160\) | \(4.2354\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123210g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 123210g do not have complex multiplication.Modular form 123210.2.a.g
sage: E.q_eigenform(10)