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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 381150bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 381150.bd1 | 381150bd1 | \([1, -1, 0, 796956363, 23653396240821]\) | \(5076968016774473299096243/24858797913991016349696\) | \(-274096213149404195148791808000\) | \([]\) | \(524697600\) | \(4.3309\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150bd do not have complex multiplication.Modular form 381150.2.a.bd
sage: E.q_eigenform(10)