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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 53802bm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 53802.cd1 | 53802bm1 | \([1, -1, 1, -377, 3063]\) | \(-1860867/122\) | \(-387535806\) | \([]\) | \(32256\) | \(0.40050\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53802bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53802bm do not have complex multiplication.Modular form 53802.2.a.bm
sage: E.q_eigenform(10)