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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 30400bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30400.bz1 | 30400bx1 | \([0, 0, 0, -76300, -8662000]\) | \(-11993263569/972800\) | \(-3984588800000000\) | \([]\) | \(405504\) | \(1.7397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30400bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30400bx do not have complex multiplication.Modular form 30400.2.a.bx
sage: E.q_eigenform(10)