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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 234416w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234416.w1 | 234416w1 | \([0, -1, 0, -33189, 2341837]\) | \(-8390176768/14651\) | \(-7060174843904\) | \([]\) | \(522240\) | \(1.3591\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416w1 has rank \(2\).
Complex multiplication
The elliptic curves in class 234416w do not have complex multiplication.Modular form 234416.2.a.w
sage: E.q_eigenform(10)