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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 248430.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.m1 | 248430m1 | \([1, 1, 0, -15733, -766163]\) | \(-52013812295809/307200\) | \(-2543923200\) | \([]\) | \(449280\) | \(0.99392\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 248430.m do not have complex multiplication.Modular form 248430.2.a.m
sage: E.q_eigenform(10)