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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 94136.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94136.a1 | 94136c1 | \([0, 0, 0, -451, -3362]\) | \(71874/7\) | \(988051456\) | \([]\) | \(78080\) | \(0.46310\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94136.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94136.a do not have complex multiplication.Modular form 94136.2.a.a
sage: E.q_eigenform(10)