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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 461358.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
461358.d1 | 461358d1 | \([1, -1, 0, -8532483, 9555771221]\) | \(2003092024307193/9529458688\) | \(326826577204516749312\) | \([]\) | \(32577552\) | \(2.7856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 461358.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 461358.d do not have complex multiplication.Modular form 461358.2.a.d
sage: E.q_eigenform(10)