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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 188760.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188760.m1 | 188760ct1 | \([0, -1, 0, 33719, 3830125]\) | \(7023616/14625\) | \(-8828156155104000\) | \([]\) | \(963072\) | \(1.7441\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 188760.m do not have complex multiplication.Modular form 188760.2.a.m
sage: E.q_eigenform(10)