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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 74382.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74382.bd1 | 74382bh1 | \([1, 1, 1, -5685, -1635621]\) | \(-172715635009/9694992384\) | \(-1140606158985216\) | \([]\) | \(337920\) | \(1.5691\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74382.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 74382.bd do not have complex multiplication.Modular form 74382.2.a.bd
sage: E.q_eigenform(10)