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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 15600.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 15600.bc1 | 15600bb1 | \([0, -1, 0, 4867, 24487137]\) | \(3186827264/64769371875\) | \(-259077487500000000\) | \([]\) | \(149760\) | \(2.0202\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15600.bc do not have complex multiplication.Modular form 15600.2.a.bc
sage: E.q_eigenform(10)