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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 14400.ea
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14400.ea1 | 14400bz1 | \([0, 0, 0, 4500, 270000]\) | \(270\) | \(-37324800000000\) | \([]\) | \(26880\) | \(1.2871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14400.ea1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14400.ea do not have complex multiplication.Modular form 14400.2.a.ea
sage: E.q_eigenform(10)