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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 34969m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34969.a1 | 34969m1 | \([0, 0, 1, -10106041, -12367267674]\) | \(-9236754432/1331\) | \(-16448471150982018731\) | \([]\) | \(3855600\) | \(2.7025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34969m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 34969m do not have complex multiplication.Modular form 34969.2.a.m
sage: E.q_eigenform(10)