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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 344760h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.h1 | 344760h1 | \([0, -1, 0, -106382176, 422385549676]\) | \(-2276286710084294740898/128433112734375\) | \(-7512428815987680000000\) | \([]\) | \(42577920\) | \(3.2621\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344760h do not have complex multiplication.Modular form 344760.2.a.h
sage: E.q_eigenform(10)