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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 84966m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.s1 | 84966m1 | \([1, 1, 0, 4763, -52667]\) | \(10100279/6936\) | \(-8203490750616\) | \([]\) | \(207360\) | \(1.1666\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84966m do not have complex multiplication.Modular form 84966.2.a.m
sage: E.q_eigenform(10)