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SageMath
E = EllipticCurve("jr1")
E.isogeny_class()
Elliptic curves in class 418950jr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.jr1 | 418950jr1 | \([1, -1, 1, -14941310, 22233439757]\) | \(-172041783999846385/1179967488\) | \(-2530030858796851200\) | \([]\) | \(20127744\) | \(2.7119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950jr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418950jr do not have complex multiplication.Modular form 418950.2.a.jr
sage: E.q_eigenform(10)