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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 7448.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7448.d1 | 7448h1 | \([0, 1, 0, -100, -624]\) | \(-8904784/6859\) | \(-86039296\) | \([]\) | \(2304\) | \(0.22136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7448.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7448.d do not have complex multiplication.Modular form 7448.2.a.d
sage: E.q_eigenform(10)