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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 453152a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
453152.a1 | 453152a1 | \([0, 0, 0, -149256940, 422610914656]\) | \(109392552000/40353607\) | \(135650662521200958406094848\) | \([]\) | \(236888064\) | \(3.7145\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 453152a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 453152a do not have complex multiplication.Modular form 453152.2.a.a
sage: E.q_eigenform(10)