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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 125235.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
125235.d1 | 125235bd1 | \([0, 0, 1, -109263, 15799968]\) | \(-111701610496/18862875\) | \(-24360798865750875\) | \([]\) | \(2150400\) | \(1.8710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 125235.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 125235.d do not have complex multiplication.Modular form 125235.2.a.d
sage: E.q_eigenform(10)