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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 53040.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53040.y1 | 53040n1 | \([0, -1, 0, -13345, 5497117]\) | \(-1026767289066496/50316682419315\) | \(-12881070699344640\) | \([]\) | \(424320\) | \(1.7712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53040.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53040.y do not have complex multiplication.Modular form 53040.2.a.y
sage: E.q_eigenform(10)