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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 32192.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32192.bd1 | 32192w1 | \([0, 0, 0, 1436, -27712]\) | \(79951586112/127263527\) | \(-521271406592\) | \([]\) | \(57600\) | \(0.93348\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32192.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32192.bd do not have complex multiplication.Modular form 32192.2.a.bd
sage: E.q_eigenform(10)