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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 6936g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6936.c1 | 6936g1 | \([0, -1, 0, -1364176, 613938124]\) | \(-68001122/27\) | \(-111476398719227904\) | \([]\) | \(110160\) | \(2.2351\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6936g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6936g do not have complex multiplication.Modular form 6936.2.a.g
sage: E.q_eigenform(10)