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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 412224.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.m1 | 412224m1 | \([0, -1, 0, 11167, 131553]\) | \(1174855468750/740206161\) | \(-97020301934592\) | \([]\) | \(1059840\) | \(1.3729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 412224.m do not have complex multiplication.Modular form 412224.2.a.m
sage: E.q_eigenform(10)