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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 7448.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7448.h1 | 7448f1 | \([0, 0, 0, 2401, -33614]\) | \(21168/19\) | \(-1373959611136\) | \([]\) | \(8064\) | \(1.0164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7448.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7448.h do not have complex multiplication.Modular form 7448.2.a.h
sage: E.q_eigenform(10)