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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 485100.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.m1 | 485100m1 | \([0, 0, 0, -9025747080, 330044814231300]\) | \(-799965408846201776676864/128959272851717\) | \(-13108547080856148479712000\) | \([]\) | \(304791552\) | \(4.2219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100.m do not have complex multiplication.Modular form 485100.2.a.m
sage: E.q_eigenform(10)