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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 286650.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.m1 | 286650m1 | \([1, -1, 0, -21492, -2305584]\) | \(-78683185/119808\) | \(-1671742800000000\) | \([]\) | \(1612800\) | \(1.6126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286650.m do not have complex multiplication.Modular form 286650.2.a.m
sage: E.q_eigenform(10)