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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 69360.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69360.g1 | 69360cj1 | \([0, -1, 0, -111361, 18600436]\) | \(-4734976/1875\) | \(-60479817013470000\) | \([]\) | \(646272\) | \(1.9290\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69360.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69360.g do not have complex multiplication.Modular form 69360.2.a.g
sage: E.q_eigenform(10)