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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 41382bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41382.o1 | 41382bb1 | \([1, -1, 0, -402, 3284]\) | \(-81563625/2432\) | \(-214524288\) | \([]\) | \(21168\) | \(0.37692\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41382bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 41382bb do not have complex multiplication.Modular form 41382.2.a.bb
sage: E.q_eigenform(10)