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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 215600.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215600.bd1 | 215600ga1 | \([0, 1, 0, -10208, 75853588]\) | \(-1250/26411\) | \(-2485782191200000000\) | \([]\) | \(3317760\) | \(2.2087\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215600.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215600.bd do not have complex multiplication.Modular form 215600.2.a.bd
sage: E.q_eigenform(10)