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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 14994bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14994.bc1 | 14994bc1 | \([1, -1, 0, 24246, 1368436]\) | \(53582633/58752\) | \(-1728353381360256\) | \([]\) | \(75264\) | \(1.6104\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14994bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14994bc do not have complex multiplication.Modular form 14994.2.a.bc
sage: E.q_eigenform(10)