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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 380880.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380880.b1 | 380880b1 | \([0, 0, 0, -483, 7682]\) | \(-426006/625\) | \(-18282240000\) | \([]\) | \(270336\) | \(0.66100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380880.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 380880.b do not have complex multiplication.Modular form 380880.2.a.b
sage: E.q_eigenform(10)