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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 6762m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6762.n1 | 6762m1 | \([1, 0, 1, 29276, 2265218]\) | \(68769820673/94610592\) | \(-3817878647605344\) | \([]\) | \(33600\) | \(1.6756\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6762m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6762m do not have complex multiplication.Modular form 6762.2.a.m
sage: E.q_eigenform(10)