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SageMath
E = EllipticCurve("cm1")
E.isogeny_class()
Elliptic curves in class 69360.cm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69360.cm1 | 69360da1 | \([0, 1, 0, -776, -19980]\) | \(-43713001/116640\) | \(-138071900160\) | \([]\) | \(51840\) | \(0.82507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69360.cm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69360.cm do not have complex multiplication.Modular form 69360.2.a.cm
sage: E.q_eigenform(10)