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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 13872.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13872.bd1 | 13872j1 | \([0, 1, 0, -278403, 128062440]\) | \(-73984000/177147\) | \(-5714036343725424048\) | \([]\) | \(269280\) | \(2.2873\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13872.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13872.bd do not have complex multiplication.Modular form 13872.2.a.bd
sage: E.q_eigenform(10)