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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 381150bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 381150.bc1 | 381150bc1 | \([1, -1, 0, 2410792997508, -3935367550668561584]\) | \(5076968016774473299096243/24858797913991016349696\) | \(-7587158772862056958781074440192000000000\) | \([]\) | \(28858368000\) | \(6.3345\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150bc do not have complex multiplication.Modular form 381150.2.a.bc
sage: E.q_eigenform(10)