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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 98315.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98315.h1 | 98315b1 | \([0, -1, 1, -1588021, 204439826]\) | \(7113539584/3828125\) | \(238337877355991328125\) | \([]\) | \(3686256\) | \(2.6011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98315.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 98315.h do not have complex multiplication.Modular form 98315.2.a.h
sage: E.q_eigenform(10)