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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 110946r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110946.l1 | 110946r1 | \([1, 0, 1, -4115, 108380]\) | \(-4582619467033/385826166\) | \(-648573785046\) | \([]\) | \(218400\) | \(1.0117\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110946r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110946r do not have complex multiplication.Modular form 110946.2.a.r
sage: E.q_eigenform(10)