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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 304200bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 304200.bd1 | 304200bd1 | \([0, 0, 0, -195, -1170]\) | \(-7020\) | \(-116812800\) | \([]\) | \(87552\) | \(0.27893\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 304200bd do not have complex multiplication.Modular form 304200.2.a.bd
sage: E.q_eigenform(10)