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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 182070.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
182070.d1 | 182070dd1 | \([1, -1, 0, 241409160, -969543725760]\) | \(17997704835884047/15112079933440\) | \(-1306447802725729956562206720\) | \([]\) | \(89303040\) | \(3.8908\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 182070.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 182070.d do not have complex multiplication.Modular form 182070.2.a.d
sage: E.q_eigenform(10)