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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 69366.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69366.g1 | 69366k1 | \([1, 0, 1, -853, -8968]\) | \(68523370149961/5461323912\) | \(5461323912\) | \([]\) | \(82560\) | \(0.61186\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366.g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 69366.g do not have complex multiplication.Modular form 69366.2.a.g
sage: E.q_eigenform(10)