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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 80920.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80920.m1 | 80920h1 | \([0, 1, 0, -385, 22435]\) | \(-1024/35\) | \(-216272618240\) | \([]\) | \(80640\) | \(0.85528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80920.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 80920.m do not have complex multiplication.Modular form 80920.2.a.m
sage: E.q_eigenform(10)