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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 121242.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.m1 | 121242n1 | \([1, 0, 1, -3391, 105752]\) | \(-2433138625/1333662\) | \(-2362663586382\) | \([]\) | \(288000\) | \(1.0778\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121242.m do not have complex multiplication.Modular form 121242.2.a.m
sage: E.q_eigenform(10)