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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 266910g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266910.g1 | 266910g1 | \([1, 1, 0, 1807887, -232970283]\) | \(653487346048372282018151/401774284800000000000\) | \(-401774284800000000000\) | \([]\) | \(16055424\) | \(2.6427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266910g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 266910g do not have complex multiplication.Modular form 266910.2.a.g
sage: E.q_eigenform(10)