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SageMath
E = EllipticCurve("ea1")
E.isogeny_class()
Elliptic curves in class 129360ea
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129360.e1 | 129360ea1 | \([0, -1, 0, 301579, -2089287255]\) | \(100715742101504/62663434246875\) | \(-1887306336181912800000\) | \([]\) | \(5806080\) | \(2.7615\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129360ea1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129360ea do not have complex multiplication.Modular form 129360.2.a.ea
sage: E.q_eigenform(10)