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SageMath
E = EllipticCurve("go1")
E.isogeny_class()
Elliptic curves in class 284592.go
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.go1 | 284592go1 | \([0, 1, 0, -9427392, -11553249996]\) | \(-260607143968297/11270993184\) | \(-4007507336585097117696\) | \([]\) | \(24192000\) | \(2.9109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592.go1 has rank \(1\).
Complex multiplication
The elliptic curves in class 284592.go do not have complex multiplication.Modular form 284592.2.a.go
sage: E.q_eigenform(10)