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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 10115h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10115.l1 | 10115h1 | \([1, 0, 1, -146372293, 426603684733]\) | \(172032746578729129/60555631504375\) | \(122079783750657301857964375\) | \([]\) | \(2864160\) | \(3.7068\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10115h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10115h do not have complex multiplication.Modular form 10115.2.a.h
sage: E.q_eigenform(10)