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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 393008bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
393008.bw1 | 393008bw1 | \([0, 1, 0, -56789, 31883267]\) | \(-23068672/487403\) | \(-427946646225072128\) | \([]\) | \(3801600\) | \(2.0640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 393008bw1 has rank \(2\).
Complex multiplication
The elliptic curves in class 393008bw do not have complex multiplication.Modular form 393008.2.a.bw
sage: E.q_eigenform(10)