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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 147294.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.m1 | 147294cd1 | \([1, -1, 0, -62190, 8590644]\) | \(-6329617441/3895776\) | \(-16372154194439904\) | \([]\) | \(1128960\) | \(1.8131\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 147294.m do not have complex multiplication.Modular form 147294.2.a.m
sage: E.q_eigenform(10)