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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 12482.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12482.d1 | 12482c1 | \([1, 0, 1, -21974, -1182500]\) | \(4826809/316\) | \(76815635944636\) | \([]\) | \(49920\) | \(1.4142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12482.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12482.d do not have complex multiplication.Modular form 12482.2.a.d
sage: E.q_eigenform(10)