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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 310464.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.bc1 | 310464bc1 | \([0, 0, 0, -2618364, -1630899144]\) | \(-610325920583424/55240493\) | \(-179684041262939136\) | \([]\) | \(5898240\) | \(2.3503\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.bc do not have complex multiplication.Modular form 310464.2.a.bc
sage: E.q_eigenform(10)