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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 176400.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.bd1 | 176400nt1 | \([0, 0, 0, -4542300, -3838684500]\) | \(-30211716096/1071875\) | \(-367722243787500000000\) | \([]\) | \(7741440\) | \(2.7184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.bd do not have complex multiplication.Modular form 176400.2.a.bd
sage: E.q_eigenform(10)