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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 379050.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.s1 | 379050s1 | \([1, 1, 0, -640031191275, 378214736430328875]\) | \(-109264302241400105173004689/169637740417250683593750\) | \(-45016457164205791073668711853027343750\) | \([]\) | \(15081707520\) | \(5.9164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.s do not have complex multiplication.Modular form 379050.2.a.s
sage: E.q_eigenform(10)