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SageMath
E = EllipticCurve("bcd1")
E.isogeny_class()
Elliptic curves in class 235200bcd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.bcd1 | 235200bcd1 | \([0, 1, 0, -1959673, 1055249663]\) | \(-805661175040/729\) | \(-753095155276800\) | \([]\) | \(3096576\) | \(2.1529\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200bcd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200bcd do not have complex multiplication.Modular form 235200.2.a.bcd
sage: E.q_eigenform(10)