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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 58443.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58443.d1 | 58443q1 | \([0, 1, 1, -11656, 561358]\) | \(-98867482624/20696067\) | \(-36664345150587\) | \([]\) | \(357000\) | \(1.3245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58443.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58443.d do not have complex multiplication.Modular form 58443.2.a.d
sage: E.q_eigenform(10)