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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 61347a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.q1 | 61347a1 | \([0, -1, 1, 13633, 80849]\) | \(5537792/3267\) | \(-165302208006507\) | \([]\) | \(155520\) | \(1.4176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61347a do not have complex multiplication.Modular form 61347.2.a.a
sage: E.q_eigenform(10)