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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 300042m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
300042.m1 | 300042m1 | \([1, -1, 1, 182146, -13903347]\) | \(916763542913931623/644335288713216\) | \(-469720425471934464\) | \([]\) | \(4165632\) | \(2.0794\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 300042m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 300042m do not have complex multiplication.Modular form 300042.2.a.m
sage: E.q_eigenform(10)