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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 51520bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 51520.ca1 | 51520bb1 | \([0, 1, 0, -3745, 87175]\) | \(-5674076449024/14904575\) | \(-15262284800\) | \([]\) | \(43008\) | \(0.82935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51520bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 51520bb do not have complex multiplication.Modular form 51520.2.a.bb
sage: E.q_eigenform(10)