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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 23120.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23120.bb1 | 23120w1 | \([0, 1, 0, 11464, -324076]\) | \(5831/5\) | \(-142863512391680\) | \([]\) | \(78336\) | \(1.4037\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23120.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23120.bb do not have complex multiplication.Modular form 23120.2.a.bb
sage: E.q_eigenform(10)