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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 38646bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38646.s1 | 38646bd1 | \([1, -1, 1, -2737256, 1757360427]\) | \(-3111302831921821954873/28165508381540352\) | \(-20532655610142916608\) | \([]\) | \(1296000\) | \(2.5287\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646bd1 has rank \(2\).
Complex multiplication
The elliptic curves in class 38646bd do not have complex multiplication.Modular form 38646.2.a.bd
sage: E.q_eigenform(10)