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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 337896bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 337896.bc1 | 337896bc1 | \([0, 0, 0, -162152175, 797916091763]\) | \(-859256706676000000/3965752347687\) | \(-2176179459120721642609008\) | \([]\) | \(58060800\) | \(3.5208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 337896bc1 has rank \(2\).
Complex multiplication
The elliptic curves in class 337896bc do not have complex multiplication.Modular form 337896.2.a.bc
sage: E.q_eigenform(10)