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SageMath
E = EllipticCurve("go1")
E.isogeny_class()
Elliptic curves in class 286110.go
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.go1 | 286110go1 | \([1, -1, 1, 4597213, -548928691]\) | \(610641930681719/360747465210\) | \(-6347816221316394903210\) | \([]\) | \(21565440\) | \(2.8729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110.go1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286110.go do not have complex multiplication.Modular form 286110.2.a.go
sage: E.q_eigenform(10)