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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 155298bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 155298.c1 | 155298bd1 | \([1, 1, 0, -14672917, -21639405203]\) | \(349359969519737821784968921/210436115414114304\) | \(210436115414114304\) | \([]\) | \(7762560\) | \(2.6465\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155298bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155298bd do not have complex multiplication.Modular form 155298.2.a.bd
sage: E.q_eigenform(10)