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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 271950bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.bd1 | 271950bd1 | \([1, 1, 0, 395191100, -328228958000]\) | \(3713102264066983114319/2174129434036224000\) | \(-3996627402889495584000000000\) | \([]\) | \(162570240\) | \(3.9857\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271950bd do not have complex multiplication.Modular form 271950.2.a.bd
sage: E.q_eigenform(10)