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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 59248.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59248.bd1 | 59248g1 | \([0, 0, 0, 12920825, -452803434067]\) | \(100718081964000000/37453512751940327\) | \(-88711424902501164518331248\) | \([]\) | \(25850880\) | \(3.6581\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59248.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59248.bd do not have complex multiplication.Modular form 59248.2.a.bd
sage: E.q_eigenform(10)