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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 29624q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29624.b1 | 29624q1 | \([0, 0, 0, 28037, 60835]\) | \(1029037824/596183\) | \(-1412103686586992\) | \([]\) | \(354816\) | \(1.5964\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29624q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29624q do not have complex multiplication.Modular form 29624.2.a.q
sage: E.q_eigenform(10)