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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 54096.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.bc1 | 54096bt1 | \([0, -1, 0, -12413, 2618001]\) | \(-7023616000/93934323\) | \(-2829127466656512\) | \([]\) | \(345600\) | \(1.6465\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54096.bc do not have complex multiplication.Modular form 54096.2.a.bc
sage: E.q_eigenform(10)