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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 100010.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100010.g1 | 100010i1 | \([1, 0, 0, -111496565, -453157570783]\) | \(153288006309736388746325476561/4114576216480000000\) | \(4114576216480000000\) | \([]\) | \(9624384\) | \(3.0852\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100010.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100010.g do not have complex multiplication.Modular form 100010.2.a.g
sage: E.q_eigenform(10)