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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 388416.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388416.h1 | 388416h1 | \([0, -1, 0, -268577, -54205311]\) | \(-9373256/147\) | \(-33601498114523136\) | \([]\) | \(5170176\) | \(1.9727\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388416.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388416.h do not have complex multiplication.Modular form 388416.2.a.h
sage: E.q_eigenform(10)