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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 6468o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6468.r1 | 6468o1 | \([0, 1, 0, 670, -363903]\) | \(17643776/30438639\) | \(-57297207035376\) | \([]\) | \(17280\) | \(1.3189\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6468o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6468o do not have complex multiplication.Modular form 6468.2.a.o
sage: E.q_eigenform(10)