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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 51520.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51520.u1 | 51520ch1 | \([0, -1, 0, -3745, -87175]\) | \(-5674076449024/14904575\) | \(-15262284800\) | \([]\) | \(43008\) | \(0.82935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51520.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51520.u do not have complex multiplication.Modular form 51520.2.a.u
sage: E.q_eigenform(10)