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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 87120.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87120.bd1 | 87120ba1 | \([0, 0, 0, 15972, 2518252]\) | \(11264/75\) | \(-3000338385580800\) | \([]\) | \(337920\) | \(1.6515\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87120.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 87120.bd do not have complex multiplication.Modular form 87120.2.a.bd
sage: E.q_eigenform(10)