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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 250470g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250470.g1 | 250470g1 | \([1, -1, 0, -76249080, -254285774550]\) | \(313731791659399201/2775672918750\) | \(433747812705350106768750\) | \([]\) | \(41564160\) | \(3.3590\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250470g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 250470g do not have complex multiplication.Modular form 250470.2.a.g
sage: E.q_eigenform(10)