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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 25857g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25857.i1 | 25857g1 | \([1, -1, 1, 7573, 1333518]\) | \(2307174311/38336139\) | \(-798195561698691\) | \([]\) | \(86400\) | \(1.5400\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25857g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25857g do not have complex multiplication.Modular form 25857.2.a.g
sage: E.q_eigenform(10)