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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 202160.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202160.bd1 | 202160m1 | \([0, -1, 0, -43440, -20151488]\) | \(-130321/2450\) | \(-170433451829043200\) | \([]\) | \(1707264\) | \(1.9875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202160.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202160.bd do not have complex multiplication.Modular form 202160.2.a.bd
sage: E.q_eigenform(10)