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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 66924.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66924.g1 | 66924b1 | \([0, 0, 0, -168480, -26617708]\) | \(-452770725888000/14641\) | \(-17102562048\) | \([]\) | \(135936\) | \(1.4653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66924.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66924.g do not have complex multiplication.Modular form 66924.2.a.g
sage: E.q_eigenform(10)