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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 100010g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100010.k1 | 100010g1 | \([1, -1, 1, -62577, 6040609]\) | \(27099508997725670241/897932984320\) | \(897932984320\) | \([]\) | \(980832\) | \(1.3868\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100010g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100010g do not have complex multiplication.Modular form 100010.2.a.g
sage: E.q_eigenform(10)