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SageMath
E = EllipticCurve("cm1")
E.isogeny_class()
Elliptic curves in class 54096cm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.cr1 | 54096cm1 | \([0, 1, 0, 256107, 498578499]\) | \(1605632000/93710763\) | \(-108425097676410826752\) | \([]\) | \(1064448\) | \(2.5240\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096cm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54096cm do not have complex multiplication.Modular form 54096.2.a.cm
sage: E.q_eigenform(10)