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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 6776b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6776.b1 | 6776b1 | \([0, 0, 0, -1804, 29524]\) | \(-1905527808/2401\) | \(-818107136\) | \([]\) | \(9984\) | \(0.61888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6776b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 6776b do not have complex multiplication.Modular form 6776.2.a.b
sage: E.q_eigenform(10)