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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 67600bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67600.dm1 | 67600bc1 | \([0, 0, 0, 21125, 2746250]\) | \(270\) | \(-3861447200000000\) | \([]\) | \(518400\) | \(1.6737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67600bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67600bc do not have complex multiplication.Modular form 67600.2.a.bc
sage: E.q_eigenform(10)