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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 181656a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
181656.a1 | 181656a1 | \([0, 0, 0, -10092, 487780]\) | \(-3072\) | \(-37002769152768\) | \([]\) | \(604800\) | \(1.3161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 181656a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 181656a do not have complex multiplication.Modular form 181656.2.a.a
sage: E.q_eigenform(10)