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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 58870g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58870.h1 | 58870g1 | \([1, -1, 0, -2352014, -1387826702]\) | \(-2876467955481/85750\) | \(-42896129911405750\) | \([]\) | \(1127520\) | \(2.2904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58870g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58870g do not have complex multiplication.Modular form 58870.2.a.g
sage: E.q_eigenform(10)