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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 438702bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 438702.bc1 | 438702bc1 | \([1, 0, 1, -307358, -51002566]\) | \(11111108866303075129/2545553106169326\) | \(735664847682935214\) | \([]\) | \(7464960\) | \(2.1407\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 438702bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 438702bc do not have complex multiplication.Modular form 438702.2.a.bc
sage: E.q_eigenform(10)