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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 10710g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10710.b1 | 10710g1 | \([1, -1, 0, -8055, -276899]\) | \(-79290863149681/213248000\) | \(-155457792000\) | \([]\) | \(15840\) | \(1.0217\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10710g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10710g do not have complex multiplication.Modular form 10710.2.a.g
sage: E.q_eigenform(10)