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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 18050.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18050.m1 | 18050v1 | \([1, -1, 1, -430380, -115932753]\) | \(-11993263569/972800\) | \(-715097391200000000\) | \([]\) | \(760320\) | \(2.1722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18050.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18050.m do not have complex multiplication.Modular form 18050.2.a.m
sage: E.q_eigenform(10)