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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 429429s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
429429.s1 | 429429s1 | \([1, 1, 1, -33852959, -315845203354]\) | \(-118436464005435433/1120962830293089\) | \(-40608729112573088752406121\) | \([]\) | \(80011008\) | \(3.5962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 429429s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 429429s do not have complex multiplication.Modular form 429429.2.a.s
sage: E.q_eigenform(10)