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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 47040.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47040.m1 | 47040dw1 | \([0, -1, 0, 3659, -635795]\) | \(57344/1875\) | \(-177094686720000\) | \([]\) | \(129024\) | \(1.4140\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47040.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47040.m do not have complex multiplication.Modular form 47040.2.a.m
sage: E.q_eigenform(10)