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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 176400.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.bc1 | 176400dr1 | \([0, 0, 0, -527439675, -5363454041750]\) | \(-1231272543361/230400000\) | \(-3036479666076057600000000000\) | \([]\) | \(100638720\) | \(3.9977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.bc do not have complex multiplication.Modular form 176400.2.a.bc
sage: E.q_eigenform(10)