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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 135200bi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 135200.ck1 | 135200bi1 | \([0, 1, 0, -1408, 1077688]\) | \(-8/13\) | \(-501988136000000\) | \([]\) | \(376320\) | \(1.4998\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135200bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 135200bi do not have complex multiplication.Modular form 135200.2.a.bi
sage: E.q_eigenform(10)