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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 1960m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 1960.d1 | 1960m1 | \([0, -1, 0, -5945, -174803]\) | \(-2249728/5\) | \(-51652616960\) | \([]\) | \(2688\) | \(0.93840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1960m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1960m do not have complex multiplication.Modular form 1960.2.a.m
sage: E.q_eigenform(10)