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SageMath
E = EllipticCurve("em1")
E.isogeny_class()
Elliptic curves in class 405600em
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.em1 | 405600em1 | \([0, 1, 0, 55792, 120720588]\) | \(43709080/14348907\) | \(-6304909735800000000\) | \([]\) | \(8812800\) | \(2.2865\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600em1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600em do not have complex multiplication.Modular form 405600.2.a.em
sage: E.q_eigenform(10)