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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 380880.da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380880.da1 | 380880da1 | \([0, 0, 0, -958548, -362041252]\) | \(-3525581824/9315\) | \(-257345968409475840\) | \([]\) | \(6488064\) | \(2.2158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380880.da1 has rank \(1\).
Complex multiplication
The elliptic curves in class 380880.da do not have complex multiplication.Modular form 380880.2.a.da
sage: E.q_eigenform(10)