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SageMath
E = EllipticCurve("ex1")
E.isogeny_class()
Elliptic curves in class 92400.ex
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.ex1 | 92400gd1 | \([0, 1, 0, 2134792, -1069466412]\) | \(26898633480575/27935373312\) | \(-1117414932480000000000\) | \([]\) | \(4181760\) | \(2.7255\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400.ex1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400.ex do not have complex multiplication.Modular form 92400.2.a.ex
sage: E.q_eigenform(10)