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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 15600.cr
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 15600.cr1 | 15600cm1 | \([0, 1, 0, -330208, -73206412]\) | \(-2488672890625/2426112\) | \(-3881779200000000\) | \([]\) | \(138240\) | \(1.9119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600.cr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15600.cr do not have complex multiplication.Modular form 15600.2.a.cr
sage: E.q_eigenform(10)