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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 13200.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13200.e1 | 13200p1 | \([0, -1, 0, -19222208, -32480747088]\) | \(-1963692857508260740/3452093881137\) | \(-1380837552454800000000\) | \([]\) | \(739200\) | \(2.9498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13200.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13200.e do not have complex multiplication.Modular form 13200.2.a.e
sage: E.q_eigenform(10)