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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 17424h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17424.q1 | 17424h1 | \([0, 0, 0, 15972, 644204]\) | \(1024\) | \(-440049629885184\) | \([]\) | \(63360\) | \(1.4968\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17424h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17424h do not have complex multiplication.Modular form 17424.2.a.h
sage: E.q_eigenform(10)